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Chair of Dynamical Systems
Chair of Dynamical Systems

Prof. Dr. Fabian Wirth

  1. J. Epperlein, F. Wirth
    Auerbach bases, projection constants, and the joint spectral radius of principal submatrices
    2025
    pdf-version

  1. D. Hinrichsen, A. Pritchard, F. Colonius, T. Damm, A. Ilchmann, B. Jacob and F. Wirth
    Mathematical Systems Theory III
    Linear Quadratic Control and Adaptive Feedback
    Springer Cham, 2025
    Springer's information page
  2. D. Hinrichsen, A. Pritchard, F. Colonius, T. Damm, A. Ilchmann, B. Jacob and F. Wirth
    Mathematical Systems Theory II
    Control, Observation, Realization, and Feedback
    Springer Cham, 2025
    Springer's information page
  3. E. Crisostomi, R. Shorten, S. Stüdli and F. Wirth.
    Electric and Plug-in Hybrid Vehicle Networks: Optimization and Control.
    Boca Raton, FL: CRC Press, 2018.
    CRC's information page
  4. M. Corless, C. King, R. Shorten, and F. Wirth.
    AIMD Dynamics and Distributed Resource Allocation.
    Vol. 29. Advances in Design and Control. Philadelphia, PA: SIAM, 2016.
    SIAM's information page
  5. V. Blondel, M. Karow, V. Protasov, F. Wirth, eds.,
    Special Issue on the Joint Spectral Radius,
    Linear Algebra and its Applications 428 (10); 2008.
  6. F. Colonius, U. Helmke, D. Prätzel-Wolters, F. Wirth, eds.,
    Advances in Mathematical Systems Theory,
    Birkhäuser, Boston, 2000.
    Birkhäuser's information page

  1. R.L. Cogill, O. Gallay, C. Lee, Z. Nabi, M. Rufli, R. Shorten, T. Tchrakian, R. Verago, F.R. Wirth, and S. Zhuk.
    Vehicle and local area security system communications.
    US Patent US 9598050 B2. 2017. issued 2017/3/21.
  2. R.L. Cogill, O. Gallay, C. Lee, Z. Nabi, M.M. Rufli, R. Shorten, T.T. Tchrakian, R. Verago, F.R. Wirth, Jia Y. Yu, and S. Zhuk.
    Distributed parking space detection, characterization, advertisement, and enforcement.
    US Patent US 9601018 B2.2017. issued 2017/3/21.
  3. R.L. Cogill, C. Lee, Z. Nabi, J. Naoum-Sawaya, M. Rufli, R. Shorten, T. Tchrakian, R. Verago, F. Wirth, and S. Zhuk.
    System for charging mobile device using an adhoc infrastructure with energy harvesting capabilities.
    US Patent 9887566B2. 2018. issued 2018/2/6.
  4. R.L. Cogill, O. Gallay, C. Lee, Z. Nabi, M. Rufli, R. Shorten, T. Tchrakian, R. Verago, F.R. Wirth, and S. Zhuk.
    System and method for air-pollutant source localization using parked motor vehicles.
    US Patent US 995 21 90 B2.2018. issued 2018/4/24.
  5. R. Cogill, J. Marecek, M. Mevissen, P. Palmes, R. Shorten, and F.R. Wirth.
    Disruption forecasting in complex schedules.
    U.S. Patent No. 11,023,816. 2021.

  1. A. Kilian, B. Maschke, A. Mironchenko, F. Wirth
    Infinite-dimensional port-Hamiltonian systems with a stationary interface
    European Journal of Control, Volume 82, 2025
    pdf-version
  2. J. Epperlein, F.Wirth
    The joint spectral radius is pointwise Hölder continuous
    Linear Algebra and its Applications, 704, pp. 92 - 122, 2025
    pdf-version
  3. Lucas Brivadis, Antoine Chaillet, Andrii Mironchenko and Fabian Wirth
    Forward completeness implies bounded reachable sets for time-delay systems on the state space of essentially bounded measurable functions
    IEEE Control System Letters, 8, pp. 1667 - 1672, 2024
  4. Antoine Chaillet, Fabian Wirth, Andrii Mironchenko and Lucas Brivadis
    For time-invariant delay systems, global asymptotic stability does not imply uniform global attractivity
    IEEE Control System Letters, 8, pp. 484 - 489, 2024
    pdf-version
  5. P. Ferraro, J. Y. Yu, R. Ghosh, S. E. Alam, J. Marecek, F. Wirth, R. Shorten
    On unique ergodicity of coupled AIMD flows
    International Journal of Control, p. 1-11, 2023
    pdf-version
  6. A. Kilian, B. Maschke, A. Mironchenko, F. Wirth
    A case study of port-Hamiltonian systems with a moving interface
    IEEE Control System Letters, 7, p. 1572-1577, 2023
    pdf-version
  7. J. Marecek,  M. Roubalik, R. Ghosh, R. Shorten, F. Wirth
    Predictability and Fairness in Load Aggregation and Operations of Virtual Power Plants
    Automatica, 147, p. 110743, 2023
    pdf-version
  8. V. Bürgin, J. Epperlein, F. Wirth
    Remarks on the tail order on moment sequences
    Journal of Mathematical Analysis and Applications, 512 (1), p. 126135, 2022
    pdf-version
  9. N. Noroozi, A. Mironchenko, F. Wirth  
    A relaxed small-gain theorem for discrete-time infinite networks
    Automatica, 142, p.110363, 2022
    pdf-version
  10. G. Russo, F. Wirth
    Matrix measures, stability and contraction theory for dynamical systems on time scales
    Discrete and Continuous Dynamical Systems - Series B, 2022, 27(6): 3345-3374, 2022
    pdf version
  11. A. Mironchenko, Ch. Prieur, F. Wirth
    Local stabilization of an unstable parabolic equation via saturated controls
    IEEE Transactions on Automatic Control, 66(5):2162-2176, 2021
    pdf version
  12. B. Jacob, A. Mironchenko, J. Partington, and F. Wirth
    Non-coercive Lyapunov functions for input-to-state stability of infinite-dimensional systems
    SIAM Journal on Control and Optimization, 58(5):2952–2978, 2020
    pdf version
  13. R. Geiselhart, L. Grüne, N. Noroozi, F. Wirth
    Control of discrete-time nonlinear systems via finite-step control Lyapunov functions
    Systems & Control Letters 138, 104631, 2020
    pdf version
  14. N. Noroozi, R. Geiselhart, S.H. Mousavi, R. Postoyan, and F. Wirth.
    Integral input-to-state stability of networked control systems.
    IEEE Transactions on Automatic Control 65 (3), pp. 1203-1210, 2020.
    pdf-version
  15. A.R. Fioravanti, J. Marecek, R. Shorten, M. Souza, and F. Wirth
    On the ergodic control of ensembles.
    Automatica 108, 108483, 2019.
    pdf-version
  16. F. Wirth, S. Stüdli, J.Y. Yu, M. Corless and R. Shorten.
    Nonhomogeneous place-dependent Markov chains, unsynchronised AIMD, and network utility maximization.
    Journal of the ACM (JACM) 66 (4) pp. 1- 37, 2019.
    pdf-version
  17. A. Mironchenko and F. Wirth.
    Existence of non-coercive Lyapunov functions is equivalent to integral uniform global asymptotic stability.
    Mathematics of Control, Signals, and Systems 31 (2), pp. 1 - 26, 2019.
    pdf-version
  18.  G. Russo, F. Wirth, and R. Shorten. 
    On synchronization and consensus in continuous-time networks of nonlinear nodes with state dependent and degenerate noise diffusion. 
    IEEE Transactions on Automatic Control 64 (1), pp. 389-395, 2019.
  19. A. Mironchenko and F. Wirth.
    Non-coercive Lyapunov functions for infinite-dimensional systems.
    Journal of Differential Equations 266 (11), pp. 7038-7072, 2019.
    pdf-version
  20.  A. Mironchenko and F. Wirth. 
    Lyapunov characterization of input-to-state stability for semilinear control systems over Banach spaces.
    Systems & Control Letters 119, pp. 64-70, 2018.
  21. N. Guglielmi, O. Mason, and F. Wirth. 
    Barabanov norms, Lipschitz continuity and monotonicity for the max algebraic joint spectral radius. 
    Linear Algebra and its Applications 550, pp. 37–58, 2018.
  22. A. Mironchenko and F. Wirth. 
    Characterizations of input-to-state-stability for infinite-dimensional systems. 
    IEEE Transactions on Automatic Control 63 (6), pp. 1602–1617, 2018.
  23. N. Noroozi, R. Geiselhart, L. Grüne, B.S. Rüffer, and F. Wirth. 
    Non-conservative discrete-time ISS small-gain conditions for closed sets. 
    IEEE Transactions on Automatic Control 63 (5), pp. 1231–1242, 2017.
  24. M. Liu, F. Wirth, M. Corless, and R. Shorten. 
    On the stability and convergence of a class of consensus systems with a nonlinear input.
    Automatica 86, pp. 205–211, 2017.
  25. M. Souza, F. Wirth, and R. Shorten. 
    A note on recursive Schur complements, block Hurwitz stability of Metzler matrices and related results. 
    IEEE Transactions on Automatic Control 62 (8) (2017), pp. 4167–4172.
  26. W. Griggs, J. Y. Yu, F. Wirth, F. Häusler, and R. Shorten.
    On the design of campus parking systems with QoS guarantees.
    IEEE Transactions on Intelligent Transportation Systems 17 (5), pp. 1428-1437, 2016.
  27. C. M. Kellett, and F. Wirth.
    Nonlinear scaling of (i)ISS-Lyapunov functions.
    IEEE Transactions on Automatic Control 61 (4), pp. 1087-1092, 2016.
  28. M. Liu, R. Ordonez-Hurtado, F. Wirth, Y. Gu, E. Crisostomi, and R. Shorten.
    A distributed and privacy-aware speed advisory system for optimising conventional and electric vehicle networks.
    IEEE Transactions on Intelligent Transportation Systems 17 (5), pp. 1308-1318, 2016.
  29. R. Geiselhart and F. Wirth.
    Relaxed ISS small-gain theorems for discrete-time systems.
    SIAM Journal on Control and Optimization 54 (2), pp. 423-449, 2016.
    Journal Page
  30. B. J. Eck, E. Arandia, J. Naoum-Sawaya, and F. R. Wirth.
    Decomposition approach for background leakage assessment: BBLAWN instance.
    Journal of Water Resources Planning and Management 142 (5), p. C4015009, 2015.
  31. H. Li, R. Baier, L. Grüne, Sigurdur F. Hafstein, and F. R. Wirth.
    Computation of local ISS Lyapunov functions with low gains via linear programming.
    Discrete and Continuous Dynamical Systems B 20 (8), pp. 2477–2495, 2015.
  32. J. Naoum-Sawaya, R. Cogill, B. Ghaddar, S. Sajja, R. Shorten, N. Taheri, P. Tommasi, R. Verago, and F. Wirth.
    Stochastic optimization approach for the car placement problem in ridesharing systems.
    Transportation Research B: Methodological 80, pp. 173–184, 2015.
  33. C. King, W. Griggs, F. Wirth, K. Quinn, and R. Shorten.
    Alleviating a form of electric vehicle range anxiety through On-Demand vehicle access.
    International Journal of Control 88 (4), pp. 717-728, 2015.
    pdf version
  34. A. Mironchenko, F. Wirth, and K. Wulff.
    Stabilization of switched linear differential algebraic equations and periodic switching.
    IEEE Transactions on Automatic Control     60 (8), pp. 2102-2113, 2015.
  35. R. Geiselhart, M. Lazar, and F. Wirth.
    A relaxed small-gain theorem for interconnected discrete-time systems.
    IEEE Transactions on Automatic Control 60 (3), pp. 812-817, 2015.
  36. R. Geiselhart and F. Wirth.
    On maximal gains guaranteeing a small-gain condition.
    SIAM Journal on Control and Optimization 53 (1), pp. 262–286, 2015
    journal page
  37. T. Berger, A. Ilchmann, and F. Wirth.
    Zero dynamics and stabilization for analytic linear systems.
    Acta Applicandae Mathematica 138 (1), pp. 17-57, 2015.
  38. M. Ait Rami, V. S. Bokharaie, O. Mason, and F. R. Wirth.
    Stability criteria for SIS epidemiological models under switching policies.
    Discrete and Continuous Dynamical Systems B 19(9):2865–2887, 2014.
    pdf version
  39. R. Geiselhart, R. H. Gielen, M. Lazar, and F. R. Wirth.
    An alternative converse Lyapunov theorem for discrete-time systems.
    Systems & Control Letters 70:49–59, 2014.
  40. D. Christmann, R. Gotzhein, S. Siegmund, and F. Wirth.
    Realization of Try-Once-Discard in wireless multi-hop networks.
    IEEE Transactions on Industrial Informatics 10(1):17–26, 2014.
  41. O. Mason and F. Wirth.
    Extremal norms for positive linear inclusions.
    Linear Algebra and its Applications 444:100–113, 2014.
    pdf version
  42. R. Geiselhart and F. Wirth.
    Solving iterative functional equations for a class of piecewise linear K∞-functions.
    Journal of Mathematical Analysis and Applications 411:652–664, 2014.
  43. A. Ilchmann and F. Wirth.
    On minimum phase.
    at - Automatisierungstechnik 61(12):805–817, 2013.
  44. B.D.O. Anderson, A. Ilchmann, and F.R. Wirth.
    Stabilizability of linear time-varying systems.
    Systems & Control Letters 62:747–755, 2013.
  45. C. de Persis, R. Sailer, and F. Wirth.
    Parsimonious Event-Triggered Distributed Control: A Zeno Free Approach.
    Automatica 49(7):2116–2124, 2013.
    pdf version
  46. M. Schönlein, T. Makuschewitz, F. Wirth, and B. Scholz-Reiter.
    Measurement and optimization of robust stability of multiclass queueing networks: Applications in dynamic supply chains.
    European Journal of Operational Research, 229(1):179–189, 2013.
  47. A. Schlote, F. Wirth, A. Berman, and R. Shorten.
    On the higher moments of TCP.
    Linear Algebra and its Applications 439(4):899-913, 2013.
    pdf version
  48. H. Ito, S. Dashkovskiy, and F. R. Wirth.
    Capability and limitation of max- and sum-type construction of Lyapunov functions for networks of iISS-systems.
    Automatica 48(6):1197-1204, 2012.
    pdf version
  49. R. Geiselhart and F. Wirth.
    Numerical construction of LISS Lyapunov functions under a small gain condition.
    Mathematics of Control, Signals, and Systems 24(1):3-32, 2012.
    pdf version
  50. M. Schönlein and F. Wirth.
    On converse Lyapunov theorems for fluid network models.
    Queuing Systems 70(4):339-367, 2012.
    pdf version
  51. B. Scholz-Reiter, F. Wirth, S. Dashkovskiy, M. Kosmykov, T. Makuschewitz, and M. Schönlein.
    A comparison of mathematical modelling approaches for stability analysis of supply chains.
    International Journal of Logistics Systems Management 10(2):208-223, 2011.
  52. B.S. Rüffer and F.R. Wirth.
    Stability verification for monotone systems using homotopy algorithms.
    Numerical Algorithms 58(4):529-543, 2011.
    pdf version www.springerlink.com
  53. S. Dashkovskiy, H. Ito, and F. Wirth.
    On a small gain theorem for ISS networks in dissipative Lyapunov form. European Journal of Control 17(4):357-365, 2011. 
    pdf version
  54. B. Scholz-Reiter, F. Wirth, S. Dashkovskiy, T. Makuschewitz, M. Schönlein, and M. Kosmykov.
    Structure-preserving model reduction of large-scale logistics networks.
    European Physical Journal B 84(4):501-520, 2011.
    pdf version   epjb.edpsciences.org
  55. V.S. Bokhaire, O. Mason, and F. Wirth.
    Stability and positivity of equilibria for subhomogeneous cooperative systems.
    Nonlinear Analysis A: Theory, Methods & Applications 74(17):6416-6425, 2011.
    pdf version
  56. S. Dashkovskiy, M. Kosmykov, and F. Wirth.
    A small gain condition for interconnections of ISS systems with mixed ISS characterizations.
    IEEE Transactions on Automatic Control 56(6):1247-1258, 2011.
    pdf version 
  57. B. Scholz-Reiter, F. Wirth, T. Makuschewitz, and M. Schönlein.
    Robust capacity allocation in dynamic production networks.
    CIRP Annals-Manufacturing Technology 60:445-448, 2011.
  58. B.S. Rüffer, R. Sailer, and F.R. Wirth.
    Comments on "A multichannel IOS Small Gain Theorem for Systems With Multiple Time-Varying Communication Delays".
    IEEE Transactions on Automatic Control 55(7): 1722-1725, 2010.
    pdf version
  59. S. Dashkovskiy, B.S. Rüffer, and F.R. Wirth.
    Small gain theorems for large scale systems and construction of ISS Lyapunov functions.
    SIAM Journal on Control and Optimization 48(6):4089-4118, 2010.
    pdf version  pdf version 
  60. T.S. Doan, A. Kalauch, S. Siegmund, and F.R. Wirth.
    Stability radii for positive linear time-invariant systems on time scales.
    Systems & Control Letters 59(3-4):173-179, 2010.
    pdf version
  61. K. Wulff, F. Wirth, and R. Shorten.
    A control design method for a class of SISO switched linear systems.
    Automatica 45(11):2592-2596, 2009.
    pdf version
  62. C. King, R. Shorten, F. Wirth, and M. Akar.
    Growth conditions for the global stability of high-speed communication networks with a single congested link. 
    IEEE Transactions on Automatic Control. 53(7):1770-1774, 2008.
    pdf version
  63. E. Plischke and F. Wirth.
    Duality results for the joint spectral radius and transient behavior.
    Linear Algebra and Its Applications. 428(10):2368-2384, 2008.
    pdf version
  64. F. Camilli, L. Grüne, and F. Wirth.
    Control Lyapunov functions and Zubov's method. 
    SIAM Journal on Control and Optimization. 47(1):301-326, 2008.
    pdf version
  65. R. Shorten, F. Wirth, O. Mason, K. Wulff, and C. King.
    Stability criteria for switched and hybrid systems.
    SIAM Reviews 49(4):545-592, 2007.
    Journal page   pdf version
  66. S. Dashkovskiy, B.S. Rüffer, and F.R. Wirth.
    An ISS Small-Gain Theorem for General Networks.
    Mathematics of Control, Signals, and Systems 19:93-122, 2007.
    Journal page   pdf version
  67. L. Grüne, P. Kloeden, S. Siegmund, and F. Wirth.
    Lyapunov's Second Method for Nonautonomous Differential Equations.
    Discrete and Continuous Dynamical Systems - Series A 18(2-3):375-403, 2007. 
    pdf version
  68. R. Shorten, C. King, F. Wirth, and D. Leith.
    Modelling TCP congestion control dynamics in droptail environments. 
    Automatica. 43(3):441-449, 2007.
    pdf version
  69. F. Camilli, A. Cesaroni, L. Grüne, and F. Wirth.
    Stabilization of controlled diffusions and Zubov's method.
    Stochastics & Dynamics 6(3):373-393, 2006.
    pdf version
  70. F. Wirth, R. Stanojevic, R. Shorten, and D. Leith.
    Stochastic equilibria of AIMD communication networks. 
    SIAM Journal on Matrix Analysis and Applications. 28(3):703-723, 2006. 
    pdf version
  71. R. Shorten, F. Wirth, and D. Leith.
    A positive systems model of TCP-like congestion control: Asymptotic results.
    IEEE/ACM Transactions on Networking. 14(3):616-629, 2006.
    pdf version
  72. N. Guglielmi, F. Wirth, and M. Zennaro.
    Complex polytope extremality results for families of matrices.
    SIAM Journal on Matrix Analysis and Applications. 27:721-743, 2006. 
    pdf version
  73. F. Wirth.
    A converse Lyapunov theorem for linear parameter varying and linear switching systems.
    SIAM Journal on Control and Optimization. 44:210-239, 2005. 
    pdf version
  74. F. Wirth.
    The generalized spectral radius is strictly increasing.
    Linear Algebra and its Applications, 395:141-153, 2005.
    pdf version
  75. F. Wirth.
    On Lipschitz continuity of the top Lyapunov exponent of linear parameter varying and linear switching systems.
    Stochastics and Dynamics, 4(3):461-481, 2004.
    pdf version
  76. C. Pötzsche, S. Siegmund, and F. Wirth.
    A spectral characterization of exponential stability for linear time-invariant systems on time scales.
    Discrete and Continuous Dynamical Systems - Series A, 9(5):1223-1241, 2003.
    pdf version
  77. F. Wirth.
    The generalized spectral radius and extremal norms.
    Linear Algebra and its Applications, 342:17-40, 2002. 
    pdf version
  78. F. Camilli, L. Grüne, and F. Wirth.
    A generalization of Zubov's method to perturbed systems. 
    SIAM Journal of Control and Optimization, 40(2):496-515, 2001. 
    pdf version
  79. F. Wirth.
    Asymptotic behavior of the value functions of discrete-time discounted optimal control.
    Journal of Optimization Theory and its Applications, 110(1):183-210, 2001. 
    pdf version
  80. U. Helmke and F. Wirth.
    On controllability of the real shifted inverse power iteration. 
    Systems and Control Letters, 43(1):9-23, 2001. 
    pdf version
  81. L. Grüne and F. Wirth.
    On the rate of convergence of infinite horizon discounted optimal value functions. 
    Nonlinear Analysis, Real World Applications, 1:499-515, 2000. 
    pdf version
  82. L. Grüne, E.D. Sontag, and F.R. Wirth.
    Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes. 
    Systems and Control Letters, 38(2):127-134, 1999. 
    pdf version
  83. L. Grüne and F. Wirth.
    Feedback stabilization of discrete-time homogeneous semi-linear systems. 
    Systems and Control Letters, 37(1):19-30, 1999. 
    pdf version
  84. A.D.B. Paice and F.R. Wirth.
    Analysis of the Local Robustness of Stability for Flows. 
    Mathematics of Control, Signals and Systems, 11(4):289-302, 1998. 
    pdf version
  85. F. Wirth.
    Remarks on 'Equivalence of stability concepts for discrete time-varying systems'. 
    International Journal of Robust and Nonlinear Control, 8:91-93, 1998.
  86. F. Wirth.
    On stability of infinite-dimensional discrete inclusions. 
    Summary in Journal of Mathematical Systems, Estimation, and Control. 8(4):507-510, 1998.
    pdf version
  87. F. Wirth.
    On the calculation of real time-varying stability radii. 
    International Journal of Robust and Nonlinear Control. 8:1043-1058, 1998.
    pdf version
  88. E.D. Sontag and F.R. Wirth.
    Remarks on universal nonsingular controls for discrete-time systems. 
    Systems and Control Letters, 33(2):81-88,1998.
    pdf version
  89. F. Wirth.
    Dynamics of time-varying discrete-time linear systems: Spectral theory and the projected system. 
    Siam Journal of Control and Optimization, 36(2):447-487, 1998.
    pdf version
  90. F. Wirth and D. Hinrichsen.
    On stability radii of infinite dimensional time-varying discrete-time systems. 
    IMA Journal of Mathematical Control and Information, 11:253-276, 1994. 
    pdf version
  91. F. Wirth.
    Convergence of the value functions of discounted infinite horizon optimal control problems with low discount rates. 
    Mathematics of Operations Research, 18(4):1006-1019, 1993. 
    pdf version

  1. Alam S.E., Shorten R., Wirth F., Yu J.Y.
    Distributed Algorithms for Internet-of-Things-Enabled Prosumer Markets: A Control Theoretic Perspective.
    In: Crisostomi E., Ghaddar B., Häusler F., Naoum-Sawaya J.,
    Russo G., Shorten R. (eds) Analytics for the Sharing Economy:
    Mathematics, Engineering and Business Perspectives.     pp. 125-149, Springer, Cham, 2020.
  2. L. Grüne, S. Hirche, O. Junge, P. Koltai, D. Lehmann, J. Lunze, A. Molin, R. Sailer, M. Sigurani, C. Stöcker, and F. Wirth.
    Event-Based Control.
    in: J. Lunze, ed., Control Theory of Digitally Networked Dynamic Systems. pp. 169–261, Springer, Cham, 2014.
  3. F. Colonius, U. Helmke, J. Jordan, C. Kawan, R. Sailer, and F. Wirth.
    Analysis of Networked Systems.
    in: J. Lunze, ed., Control Theory of Digitally Networked Dynamic Systems. pp. 31–80, Springer, Cham, 2014.
  4. B. Scholz-Reiter, F. Wirth, M. Freitag, S. Dashkovskiy, T. Jagalski, C. de Beer, and B. Rüffer.
    Mathematical models of autonomous logistic processes.
    in: M. Hülsmann and K. Windt, Hrsg., Understanding Autonomous Cooperation and Control in Logistics - The Impact on Management, Information, Communication and Material Flow. pp. 121–138, Springer-Verlag, Berlin, Heidelberg, 2006.
  5. D. Hinrichsen, E. Plischke, and F. Wirth.
    Robustness of Transient Behavior.
    In: V. D. Blondel, A. Megretski, eds., Unsolved Problems in Mathematical Systems and Control Theory. Princeton University Press, Princeton, NJ, 2004. pp. 197-202.
  6. F. Wirth.
    A linearization principle for robustness with respect to time-varying perturbations.
    in Dynamics, Bifurcations and Control, F. Colonius and L. Grüne, eds., Springer, Berlin, 2002. pp. 191- 200.
    pdf version
  7. F. Camilli, L. Grüne, and F. Wirth.
    A regularization of Zubov's equation for robust domains of attraction.
    in Nonlinear Control in the Year 2000, A. Isidori et al., eds., Lecture Notes in Control and Information Sciences, Vol. 258, Springer-Verlag, London, 2000, pp. 277 - 290.
    pdf version
  8. U. Helmke and F. Wirth.
    Controllability Properties of Numerical Eigenvalue Algorithms.
    in Nonlinear Control in the Year 2000, A. Isidori et al., eds., Lecture Notes in Control and Information Sciences, Vol. 258, Springer-Verlag, London, 2000, 467 - 480.
    pdf version
  9. J. Behrens and F. Wirth.
    A globalization procedure for locally stabilizing controllers.
    in Nonlinear Control in the Year 2000, A. Isidori et al., eds., Lecture Notes in Control and Information Sciences, Vol. 258, Springer-Verlag, London, 2000, pp. 171 - 182.
    pdf version
  10. A.D.B. Paice and F.R. Wirth.
    Robustness of nonlinear systems and their domains of attraction.
    Chapter 3 in Advances in Mathematical Systems Theory, F. Colonius et al., eds., Birkhäuser, Boston, 2000. pp. 31 - 54.
    pdf version
  11. F. Colonius, D. Hinrichsen, and F. Wirth.
    Lyapunov exponents and robust stabilization.
    In V.D. Blondel, E.D. Sontag, M. Vidyasagar, and J.C. Willems, editors,
    Open Problems in Mathematical Systems and Control Theory ,
    Communications and Control Engineering Series, chapter~18, pages 83-88. Springer-Verlag, London, 1998.
    pdf version

  1. Q. Chen, A. Mironchenko, F. Wirth
    Lyapunov criterion for output-to-state stability of distributed parameter systems
    In: 5th joint IFAC Workshop on CPDE and CDPS, Beijing, China, 2025.
  2. A. Mironchenko, F. Wirth, A. Chaillet, L. Brivadis
    Towards ISS Lyapunov-Krasovskii theory with point-wise dissipation
    In: 18th IFAC Workshop on Time Delay Systems, Udine, Italy, September 2024
  3. A. Mironchenko, F. Wirth, A. Chaillet, L. Brivadis
    Criteria for Input-to-State Stability for Time-Delay Systems
    In: 18th IFAC Workshop on Time Delay Systems, Udine, Italy, September 2024
  4. Andrii Mironchenko, Fabian Wirth, Antoine Chaillet and Lucas Brivadis
    ISS Lyapunov-Krasovskii theorem with point-wise dissipation: a V -stability approach
    In: Proc. of 63rd IEEE Conference on Decision and Control, Milan, Italy, December 2024 pp. 7896–7901
  5. Michael Schönlein and Fabian Wirth
    Ensemble Feedback Methods for Families of Linear Systems
    In: 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, August 2024, pp. 51 - 54
    pdf
  6. Jeremias Epperlein and Fabian Wirth
    The Joint Spectral Radius of Principal Submatrices
    In: 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, August 2024, pp. 1112 - 1115
    pdf
  7. Jeremias Epperlein and Fabian Wirth
    On Pointwise Hölder Continuity of the Joint Spectral Radius
    In: 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, August 2024, pp. 5 - 8
    pdf
  8. Andrii Mironchenko, Fabian Wirth, Antoine Chaillet and Lucas Brivadis
    Characterizations of Input-to-State Stability for Time-Delay Systems
    In: 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, August 2024, pp. 512 - 515
    ​​​​​​​pdf
  9. A. Kilian, B. Maschke, A. Mironchenko, F. Wirth
    A case study of port-Hamiltonian systems with a moving interface
    In: IEEE 62nd Conference on Decision and Control, CDC2023, Marina Bay Sands, Singapore, December 2023, pp. 1572-1577.
  10. Ch. Kellett, F. Wirth
    Variants of Two-Measure Input-to-State Stability
    In: 12th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2022, Canberra, Australia, January 2023, pp. 7-12.
  11. N. Noroozi, A. Mironchenko, F. Wirth
    A scale-free small-gain theorem for large-scale networks with unknown network size.
    In: IEEE 59th Conference on Decision and Control, CDC2020, Jeju Island, South Korea, 2020, pp. 3102-3107
  12. N. Noroozi, R. Jackson, D. Quevedo, F. Wirth, R. Findeisen
    On noise-to-state stability of stochastic discrete-time systems via finite-step Lyapunov functions.
    In: IEEE 58th Conference on Decision and Control, CDC2019, Nice, France, 2019, pp. 5406-5411
  13. G.Russo, F. Wirth
    Coppel's inequality for linear systems on time scales.
    In: IEEE 58th Conference on Decision and Control, CDC2019, Nice, France, 2019, pp. 5187-5192.
  14. A. Mironchenko, Ch. Prieur, and F. Wirth.
    Design of saturated controls for an unstable parabolic PDE.
    In: Proc. Joint Mechatronics 2019 & 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS2019, Vienna, Austria, Sept. 2019, pp. 937-942.
  15. S. Dashkovskiy, A. Mironchenko, J. Schmid, and F. Wirth.
    Stability of infinitely many interconnected systems.
    In: Proc. Joint Mechatronics 2019 & 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS2019, Vienna, Austria, Sept. 2019 pp. 937-942.
  16. B. Jacob, A. Mironchenko, J.R. Partington, and F. Wirth.
    Remarks on input-to-state stability and non-coercive Lyapunov functions.
    In: 57th IEEE Conference on Decision and Control, CDC2017. Fontainebleau, Miami Beach, FL, USA, Dec. 2018. pp. 4803-4808.
  17. S.E. Alam, R. Shorten, F. Wirth, and J.Y. Yu.
    Derandomized Distributed Multi-resource Allocation with Little Communication Overhead.
    In: 56th Annual Allerton Conference on Communication, Control, and Computing,
    Allerton Retreat Center, Monticello, IL, USA, Oct. 2018, pp. 84-91.
  18. S.E. Alam, R. Shorten, F. Wirth, and J.Y. Yu.
    Communication efficient distributed multi-resource allocation algorithms.
    In: IEEE International Smart Cities Conference (ISC2) 2018. Kansas City, Missouri, USA, Sept. 2018, pp. 1-8.
  19. A. Mironchenko and F. Wirth.
    Integral uniform global asymptotic stability and non-coercive Lyapunov functions.
    In: 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS2018), Hong Kong, July 2018, pp. 734-741.
  20. N. Noroozi, A. Swikir, F. Wirth, and M. Zamani.
    Compositional construction of abstractions via relaxed small-gain conditions Part II: Discrete case.
    In: European Control Conference 2018. Limassol, Cyprus, June 2018, pp. 101–106.
  21. N. Noroozi, F. Wirth, and M. Zamani.
    Compositional construction of abstractions via relaxed small-gain conditions Part I: Continuous case.
    In: European Control Conference 2018. Limassol, Cyprus, June 2018, pp. 76–81.
  22. A.R. Fioravanti, J. Marecek, R.N. Shorten, M. Souza, and F. Wirth.
    On classical control and smart cities.
    In: 56th IEEE Conference on Decision and Control, CDC2017. Melbourne, Australia, Dec. 2017, pp. 1412–1420.
  23. A. Mironchenko and F. Wirth.
    Input-to-state stability of timedelay systems: criteria and open problems.
    In: 56th IEEE Conference on Decision and Control, CDC2017. Melbourne, Australia, Dec. 2017, pp. 3719–3724.
  24. A. Mironchenko and F. Wirth.
    A non-coercive Lyapunov framework for stability of distributed paramater systems.
    In: 56th IEEE Conference on Decision and Control, CDC2017. Melbourne, Australia, Dec. 2017, pp. 1900–1905.
  25. N. Noroozi, R. Geiselhart, and F. Wirth.
    On integral input-to-state stability analysis of networked control systems.
    IFAC-Papers On Line 50 (1) (2017), pp. 10078–10083.
  26. O. Mason, A. McGlinchey, and F. Wirth.
    Persistence, periodicity and privacy for switched positive systems in epidemiology and elsewhere.
    In: Positive Systems: Theory and Applications (POSTA 2016) Rome, Italy, September 14-16, 2016. Ed. by Filippo Cacace, Lorenzo Farina, Roberto Setola, and Alfredo Germani. Springer, 2017, pp. 3–15.
  27. A. Mironchenko and F. Wirth.
    Global converse Lyapunov theorems for infinite-dimensional systems.
    In: Proc. 10th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2016. Monterey, CA, USA, July 2016, pp. 909-914.
  28. A. Mironchenko and F. Wirth.
    Restatements of input-to-state stability in infinite dimensions: What goes wrong?
    In: Proc. 22nd Int. Symposium on the Mathematical Theory of Networks and Systems, MTNS2016. Minneapolis, MN, USA, July 2016, pp. 667-674.
  29. M. Liu, R. Ordonez-Hurtado, F. R. Wirth, Y. Gu, E. Crisostomi, and R. Shorten.
    An intelligent speed advisory system for electric vehicles.
    Proc. 4th International Conference on Connected Vehicles & Expo, ICCVE2015. Shenzhen, China, 2015, pp. 84-88.
  30. H. Duc Luu, D. Christmann, R. Gotzhein, S. Siegmund, and F.R. Wirth.
    The stability of Try-Once-Discard for stochastic communication channels: Theory and validation.
    54th IEEE Conference on Decision and Control, CDC2015. Osaka, Japan, Dec. 2015, pp. 4170–4175.
  31. A. Mironchenko and F.R. Wirth.
    A note on input-to-state stability of linear and bilinear infinite-dimensional systems.
    54th IEEE Conference on Decision and Control, CDC2015. Osaka, Japan, Dec. 2015, pp. 495–500.
  32. F. R. Wirth, S. Stuedli, J. Yuan Yu, M. J. Corless, and R. Shorten.
    Asynchronous algorithms for network utility maximisation with a single bit.
    European Control Conference 2015, Linz, Austria, July 2015, pp. 291–296.
  33. N. Taheri, F.R. Wirth, B.J. Eck, M. Mevissen, and R.N. Shorten.
    Robustness to time discretization errors in water network optimization.
    Operations Research Proceedings 2014. Ed. by M. Lübbecke, A. Koster, P. Letmathe, R. Madlener, B. Peis, and G. Walther. Springer, 2016, pp. 581– 588.
    Selected Papers of the Annual International Conference of the German Operations Research Society (GOR), RWTH Aachen University, Germany, September 2-5, 2014.
  34. R. Cogill, O. Gallay, W. Griggs, C. Lee, Z. Nabi, R. Ordonez, M. Rufli, R. Shorten, T. Tchrakian, F. Wirth, and S. Zhuk.
    Parked cars as a service delivery platform.
    3rd Int. Conf. on Connected Vehicles & Expo, ICCVE 2014, Vienna, Austria, December 2014, pp. 138–143.
  35. B. J. Eck, E. Arandia, J. Naoum-Sawaya, and F. Wirth.
    A simulation-optimization approach for reducing background leakage in water systems.
    Proc. 16th Conference on Water Distribution Systems Analysis WSDA, Bari, Italien, Juli 2014. Procedia Engineering: 89:55–68, 2014.
    pdf version
  36. R. Geiselhart, M. Lazar, and F.R. Wirth.
    Construction of polyhedral Lyapunov functions for discrete-time systems.
    Proc. Mathematical Theory of Networks and Systems, MTNS2014, Groningen, Netherlands, July 2014, pp. 1305–1311.
    pdf version
  37. R. Geiselhart, R. Gielen, M. Lazar, and F.R. Wirth.
    Converse Lyapunov theorems for discrete-time systems: An alternative approach.
    Proc. Mathematical Theory of Networks and Systems, MTNS2014, Groningen, Netherlands, July 2014, pp. 1298–1304.
    pdf version
  38. H. Li, R. Baier, L. Gr¨une, S. Freyr Hafstein, and F.R. Wirth.
    Computation of local ISS Lyapunov functions via linear programming.
    Proc. Mathematical Theory of Networks and Systems, MTNS2014, Groningen, Netherlands, July 2014, pp. 1189–1195.
    pdf version
  39. M. Liu, W. Griggs, C. King, F. Wirth, P. Borrel, and R. Shorten.
    Applying a QoS based fleet dimension method to reduce fleet emissions.
    2nd Int. Conf. on Connected Vehicles & Expo, ICCVE 2013, Las Vegas, NV, December 2013, pp. 732–733.
  40. C. De Persis, R. Sailer, and F. Wirth.
    On inter-sampling times for event-triggered large-scale linear systems.
    Proc. 52nd IEEE Conference on Decision and Control, CDC2013, Florence, Italy, December 2013, pp. 5301–5306.
  41. A. Mironchenko, F. Wirth, and K. Wulff.
    Stabilization of switched linear differential-algebraic equations via time-dependent switching signals.
    Proc. 52nd IEEE Conference on Decision and Control, CDC2013, Florence, Italy, December 2013, pp. 5975–5980.
  42. C. Kellett, F. R. Wirth, and P. M. Dower.
    Input-to-state stability, integral input-to-state stability, and unbounded level sets.
    Preprints of the 9th IFAC Nonlinear Control Systems Design Symposium, NOLCOS 2013, Toulouse, France, September 2013, pp. 38–43.
  43. R. Geiselhart, R. H. Gielen, M. Lazar, and F.R. Wirth.
    A non-conservative small gain theorem for GAS discrete-time systems.
    Preprints of the 9th IFAC Nonlinear Control Systems Design Symposium, NOLCOS 2013, Toulouse, France, September 2013, pp. 26–31.
  44. C. King, W. Griggs, F. Wirth, and R. Shorten.
    Using a car sharing model to alleviate electric vehicle range anxiety.
    Proc. 16th Yale Workshop on Adaptive and Learning Systems. Yale University, New Haven CT. June 2013.
  45. S. Dashkovskiy, B.S. Rüffer, and F. Wirth.
    Small gain theorems for large scale systems and construction of ISS Lyapunov functions.
    Proc. 51st IEEE Conference on Decision and Control, CDC2012, Maui, Hawaii, USA, December 2012, pp. 4165–4170.
  46. S. Trenn and F. Wirth.
    Linear switched DAEs: Lyapunov exponents, a converse Lyapunov theorem, and Barabanov norms.
    Proc. 51st IEEE Conference on Decision and Control, CDC2012, Maui, Hawaii, USA, December 2012, pp. 2666–2671.
  47. C. de Persis, R. Sailer, and F. Wirth.
    Event-triggering of large-scale systems without Zeno behaviour.
    Proc. Mathematical Theory of Networks and Systems, MTNS2012, Melbourne, Australia, July 2012, paper 216.
    pdf version
  48. H. Li and F. Wirth.
    Zubov's method for interconnected systems - a dissipative formulation.
    Proc. Mathematical Theory of Networks and Systems, MTNS2012, Melbourne, Australia, July 2012, paper 184.
    pdf version
  49. M. Ait Rami, V.S. Bokharaie, O. Mason, and F. Wirth.
    Extremal norms for positive linear inclusions.
    Proc. Mathematical Theory of Networks and Systems, MTNS2012, Melbourne, Australia, July 2012, paper 177.
    pdf version
  50. R. Geiselhart and F. Wirth.
    Numerical construction of LISS Lyapunov functions under a small gain condition.
    Proc. 50th IEEE Conference on Decision and Control, CDC2011, Orlando, Fl, December 2011, pp. 6967-6972.
    pdf version
  51. D. Liberzon, S. Trenn, and F. Wirth.
    Commutativity and asymptotic stability for linear switched DAEs.
    Proc. 50th IEEE Conference on Decision and Control, CDC2011, Orlando, FL, December 2011, pp. 417-422.
    pdf version
  52. M. Schönlein, T. Makuschewitz, F. Wirth, and B. Scholz-Reiter.
    Supply network engineering: An approach to robust capacity allocation for stochastic production processes.
    Proc. 18th IFAC World Congress. Milano, Italy, August 2011, pp. 441-446.
    pdf version
  53. C. De Persis, R. Sailer and F. Wirth.
    On a small-gain approach to distributed event-triggered control.
    Proc. 18th IFAC World Congress. Milano, Italy, August 2011, pp. 2401-2406.
    pdf version
  54. R. Sailer and F. Wirth.
    Multichannel small-gain theorems for large scale networked systems.
    Proc. 49th IEEE Conference on Decision and Control, CDC2010, Atlanta, GA, December 2010, pp. 6571-6576.
    pdf version
  55. R. Sailer and F. Wirth.
    Stabilization by encoded feedback with Markovian communication channels.
    Preprints of the 4th IFAC Nonlinear Control Systems Design Symposium, NOLCOS 2010, Bologna, Italy, September 2010, pp. 84-89.
    pdf version
  56. R. Sailer and F. Wirth.
    Multichannel IOpS small-gain theorem for large scale systems.
    Proc. Mathematical Theory of Networks and Systems, MTNS2010, Budapest, Hungary, July 2010, pp. 1477-1482.
    pdf version
  57. V. Bokharaie, O. Mason, and F. Wirth.
    On the D-stability of linear and nonlinear positive switched systems.
    Proc. Mathematical Theory of Networks and Systems, MTNS2010, Budapest, Hungary, July 2010, pp. 795–799.
  58. M. Schönlein and F. Wirth.
    Stability of fluid network models and Lyapunov functions.
    Proc. Mathematical Theory of Networks and Systems, MTNS2010, Budapest, Hungary, July 2010, pp. 871-878.
    pdf version
  59. V. Bokharaie, O. Mason, and F. Wirth.
    Spread of epidemics in time-dependent networks.
    Proc. Mathematical Theory of Networks and Systems, MTNS2010, Budapest, Hungary, July 2010, pp. 1717-1719.
    pdf version
  60. B. Scholz-Reiter, F. Wirth, T. Makuschewitz, and M. Schönlein.
    An approach to supply chain design based on robust capacity allocation of production locations.
    POMS 2010 - Operations in Emerging Economies. Vancouver, Canada, May 2010. (CD).
    pdf version
  61. H. Ito, S. Dashkovskiy, and F. Wirth.
    On a small gain theorem for networks of iISS systems.
    Proc. 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference , CDC/CCC 2009, Shanghai, China, December 2009, pp. 4210-4215.
    pdf version
  62. B. Scholz-Reiter, F. Wirth, S. Dashkovskiy, M. Kosmykov, T. Makuschewitz, and M. Schönlein.
    Some remarks on stability and robustness of production networks based on fluid models.
    Proc. of the 2nd International Conference on Dynamics in Logistics, LDIC 2009, Bremen, Germany, August 2009.
  63. B. Scholz-Reiter, F. Wirth, S. Dashkovskiy, M. Kosmykov, T. Makuschewitz, and M. Schönlein.
    An approach to model reduction of logistic networks based on ranking.
    Proc. of the 2nd International Conference on Dynamics in Logistics, LDIC 2009, Bremen, Germany, August 2009.
  64. S. Dashkovskiy, M. Kosmykov, and F. Wirth.
    A small gain condition for interconnections of ISS systems.
    Proc. European Control Conference, ECC2009, Budapest, Hungary, July 2009, pp. 1083-1088.
    pdf version
  65. S. Dashkovskiy, H. Ito, and F. Wirth.
    On a small gain theorem for ISS networks in dissipative Lyapunov form.
    Proc. European Control Conference, ECC2009, Budapest, Hungary, July 2009, pp. 1077-1082.
    pdf version
  66. R. Sailer and F. Wirth.
    Stabilization of nonlinear systems with delayed data-rate-limited feedback.
    Proc. European Control Conference, ECC2009, Budapest, Hungary, July 2009, pp. 1734-1739.
    pdf version
  67. F. Camilli, L. Grüne, and F. Wirth.
    Domains of attraction of interconnected systems: A Zubov method approach.
    Proc. European Control Conference, ECC2009, Budapest, Hungary, July 2009, pp. 91-96.
    pdf version
  68. B. Scholz-Reiter, F. Wirth, S. Dashkovskiy, M. Kosmykov, T. Makuschewitz, and M. Schönlein.
    Application of the PageRank algorithm for ranking locations of a production network.
    Proc. 42nd CIRP Conference on Manufacturing Systems, Grenoble France, June 2009, (CD).
  69. S. Dashkovskiy, B. S. Rüffer, and F.R. Wirth.
    Applications of the general Lyapunov ISS small-gain theorem for networks.
    Proc. 47th IEEE Conference on Decision and Control, CDC2008, Cancun, Mexico, December 2008, pp. 25-30.
    pdf version
  70. C. King, R. Shorten, F. Wirth, and M. Akar.
    Sector conditions for the global stability of high-speed communication networks.
    Proc. American Control Conference, ACC08, Seattle, WA, June 2008 pp. 4442 - 4444
  71. S. Dashkovskiy, B. S. Rüffer, and F. R. Wirth.
    Stability of autonomous vehicle formations using an ISS small-gain theorem for networks.
    PAMM - Proceedings in Applied Mathematics and Mechanics 8(1):10911-10912, 2008.
    pdf version
  72. S. Dashkovskiy, B. S. Rüffer, and F. R. Wirth.
    Stability of interconnections of ISS systems.
    SICE 8th Annual Conference on Control Systems, Kyoto University, Yoshida Campus, Japan, March 2008, pp. 52431–52434.
  73. S. Dashkovskiy, B. S. Rüffer, and F. R. Wirth.
    Numerical verification of local input-to-state stability for large networks.
    Proc. 46th IEEE Conference on Decision and Control, CDC2007, New Orleans, LA, December 2007, pp. 4471-4476.
    pdf version
  74. S. Dashkovskiy, B. S. Rüffer, and F. R. Wirth.
    Application of small-gain type theorems in logistics of autonomous processes.
    In: First International Conference on Dynamics in Logistics, LDIC 2007. Hrsg.: Haasis, H.-D.; Kreowski, H.-J.; Scholz-Reiter, B. Springer, Heidelberg, 2008, pp. 359–368.
  75. S. Dashkovskiy, B. S. Rüffer, and F. R. Wirth.
    A Lyapunov ISS small-gain theorem for strongly connected networks.
    Proc. 7th IFAC Symposium on Nonlinear Control Systems, NOLCOS-2007, Pretoria, South Africa, August 2007, pp. 283-288.
    pdf version
  76. R. Shorten, C. King, F. Wirth, and D. Leith.
    On the ergodicity of AIMD networks.
    Proc. American Control Conference ACC 2007, New York, NY, USA, July 2007, 3283-3287.
  77. R. Shorten, F. Wirth, and M. Akar.
    On nonlinear AIMD congestion control for high speed networks.
    Proc. 45th IEEE Conference on Decision and Control, CDC2006, San Diego, CA, USA, December 2006, pp. 633-638.
  78. S. Dashkovskiy, B. S. Rüffer, and F. R. Wirth.
    On the construction of ISS Lyapunov functions for networks of ISS systems.
    Proc. Symposium on Mathematical Theory of Networks and Systems, MTNS-2006, Kyoto, Japan, July 2006, pp. 77-82.
    pdf version
  79. S. Dashkovskiy, B. S. Rüffer, and F. R. Wirth.
    Discrete time monotone systems: Criteria for global asymptotic stability and applications.
    Proc. Symposium on Mathematical Theory of Networks and Systems, MTNS-2006, Kyoto, Japan, July 2006, pp. 89-97.
    pdf version
  80. R. Shorten, F. Wirth, and D. Leith.
    An ergodicity result for communication networks.
    Wissenschaftliche Jahrestagung der Deutschen Gesellschaft für angewandte Mathematik und Mechanik, GAMM06, Berlin, March 2006, PAMM - Proceedings in Applied Mathematics and Mechanics, 6(1):723-724.
  81. F. Wirth, R. Shorten, and M. Akar.
    State dependent AIMD algorithms and consensus problems.
    Wissenschaftliche Jahrestagung der Deutschen Gesellschaft für angewandte Mathematik und Mechanik, GAMM06, Berlin, March 2006, PAMM - Proceedings in Applied Mathematics and Mechanics, 6(1):855-856.
  82. F. Wirth.
    A converse Lyapunov theorem for switched linear systems with dwell times.
    Proc. Joint Conference on Decision and Control and European Control Conference, CDC/ECC 2005, Seville, Spain, December 2005, pp. 4572-4577.
    pdf version
  83. F. Wirth.
    On the structure of the set of extremal norms of a linear inclusion.
    Proc. Joint Conference on Decision and Control and European Control Conference, CDC/ECC 2005, Seville, Spain, December 2005, pp. 3019-3024.
    pdf version
  84. S. Dashkovskiy, B. S. Rüffer, and F.R. Wirth.
    A small-gain type stability criterion for large scale networks of ISS systems.
    Proc. Joint Conference on Decision and Control and European Control Conference, CDC/ECC 2005, Seville, Spain, December 2005, pp. 5633-5638.
    pdf version
  85. E. Plischke, F. Wirth, and N. Barabanov.
    Duality results for the joint spectral radius and transient behavior.
    Proc. Joint Conference on Decision and Control and European Control Conference, CDC/ECC 2005, Seville, Spain, December 2005, pp. 2344-2349.
    pdf version
  86. K. Wulff, F. Wirth, and R. Shorten.
    On the stabilisation of a class of SISO switched linear systems.
    Proc. Joint Conference on Decision and Control and European Control Conference, CDC/ECC 2005, Seville, Spain, December 2005, pp. 3976-3981.
  87. R. N. Shorten, D. J. Leith, F. Wirth, and C. Kellett.
    Switched linear systems and internet congestion control.
    Proc. 13th Yale Workshop on Adaptive and Learning Systems, Yale University, New Haven CT. May 2005.
  88. B. Scholz-Reiter, F. Wirth, M. Freitag, S. Dashkovskiy, T. Jagalski, C. de Beer and B. Rüffer.
    Some remarks on the stability of production networks.
    In: H.-D. Haasis, H. Kopfer, J. Schönberger, Hrsg.: Operations Research Proceedings 2005, Springer-Verlag, Berlin, 2006, pp. 91–96.
  89. F. Camilli, L. Grüne, and F. Wirth.
    Zubov's method for stochastic control systems.
    Proc. 16th IFAC World Congress, Prague, Czech Republic, July 2005, paper Mo-M20-TO/4 (CD-Rom).
  90. F. Wirth.
    The Gelfand formula for linear parameter varying and linear switching systems.
    Proc. 16th IFAC World Congress, Prague, Czech Republic, July 2005, paper Th-M12-TO/6 (CD-Rom).
  91. F. Camilli, L. Grüne, and F. Wirth.
    Calculating the domain of attraction: Zubov's method and extensions.
    Proc. SCP 2005, Stability and Control Processes, dedicated to the 75th birthday of V.I. Zubov, St. Petersburg, Russia, June 2005, pp. 27-36.
  92. S. Dachkovski, F. Wirth, and T. Jagalski.
    Autonomous control of shop floor logistics: Analytic models.
    In: J. Chryssolouris, D. Mourtzis (eds.), Manufacturing, Modelling, Management and Control 2004, IFAC Workshop Series, Elsevier Science, Amsterdam, 2005.
  93. F. Camilli, L. Grüne, and F. Wirth.
    Construction of Lyapunov functions on the domain of asymptotic nullcontrollability: Numerics.
    6th IFAC Nonlinear Control Systems Design Symposium, NOLCOS 2004, Stuttgart, Germany, pp. 883-888, September 2004.
  94. F. Camilli, L. Grüne, and F. Wirth.
    Construction of Lyapunov functions on the domain of asymptotic nullcontrollability: Theory.
    6th IFAC Nonlinear Control Systems Design Symposium, NOLCOS 2004, Stuttgart, Germany, pp. 877-882, September 2004.
  95. E. Plischke and F. Wirth.
    Stabilization of linear systems with prescribed transient bounds.
    Symposium on Mathematical Theory of Networks and Systems, MTNS-2004, Katholieke Universiteit Leuven, Belgium, July 2004, paper no. 181 (CD-Rom).
  96. F. Wirth.
    Transient behavior and robustness.
    Symposium on Mathematical Theory of Networks and Systems, MTNS-2004, Katholieke Universiteit Leuven, Belgium, July 2004, paper no. 339 (CD-Rom).
  97. F. Camilli, L. Grüne, and F. Wirth.
    Characterizing controllability probabilities of stochastic control systems via Zubov's method.
    Symposium on Mathematical Theory of Networks and Systems, MTNS-2004, Katholieke Universiteit Leuven, Belgium, July 2004, paper no. 65 (CD-Rom).
  98. F. Wirth.
    A monotonicity property of the joint spectral radius.
    Symposium on Mathematical Theory of Networks and Systems, MTNS-2004, Katholieke Universiteit Leuven, Belgium, July 2004, paper no. 60 (CD-Rom).
  99. F. Wirth.
    Applications of Zubov's method to perturbed systems.
    In B. Lohmann, A. Gräser, eds.: Methods and Applications in Automation, 24th Colloquium of Automation, Salzhausen, Germany, Shaker Verlag, Aachen, 2003, pages 14-23.
  100. F. Wirth.
    Stability of linear parameter varying and linear switching systems.
    PAMM, Proceedings in Applied Mathematics and Mechanics, 3(1):144-147, 2003.
    pdf version
  101. F. Camilli, L. Grüne, and F. Wirth.
    A generalization of Zubov's method to perturbed systems.
    Proc. 41st IEEE Conference on Decision and Control, CDC2002, Las Vegas, NV, US, pp. 3518-3523, 2002.
    pdf version
  102. F. Wirth.
    A genericity result for time-varying stability radii using nonsmooth analysis.
    Proc. 41st IEEE Conference on Decision and Control, CDC2002, Las Vegas, NV, US, 2002.
  103. D. Hinrichsen, E. Plischke, and F. Wirth.
    State feedback stabilization with guaranteed transient bounds.
    Proc. Symposium on Mathematical Theory of Networks and Systems, MTNS-2002, South Bend, IN, US, 2002, (CD-ROM), paper 2132.
    pdf version
  104. F. Wirth.
    Parameter dependent extremal norms for linear parameter varying systems.
    Proc. Symposium on Mathematical Theory of Networks and Systems, MTNS-2002, South Bend, IN, US, 2002, (CD-ROM), paper 9024.
    pdf version
  105. F. Wirth.
    On Lipschitz continuity of the joint spectral radius.
    PAMM, Proceedings in Applied Mathematics and Mechanics, 1:109-110, 2002.
    pdf version
  106. L. Grüne and F. Wirth.
    Computing control Lyapunov functions via a Zubov type algorithm.
    Proceedings of the 39th IEEE Conference on Decision and Control    , Sydney, Australia, 2129 - 2134, 2000.
    pdf version
  107. F. Camilli, L. Grüne, and F. Wirth.
    Zubov's method for perturbed differential equations.
    Proceedings of the Symposium on Mathematical Theory of Networks and Systems, MTNS-2000, Perpignan, France, 2000. (CD-ROM) paper B100.
    pdf version
  108. F. Wirth.
    Exponential stability of families of linear delay systems.
    Proceedings of the Symposium on Mathematical Theory of Networks and Systems, MTNS-2000, Perpignan, France, 2000. (CD-ROM) paper B06.
    pdf version
  109. F. Wirth.
    Further results on the Lyapunov spectrum of time-varying linear discrete-time systems.
    Proceedings of the Symposium on Mathematical Theory of Networks and Systems, MTNS-2000, Perpignan, France, 2000. (CD-ROM) paper B05.
    pdf version
  110. L. Grüne, E.D. Sontag, and F. Wirth.
    On the equivalence between asymptotic and exponential stability, and between ISS and finite H∞ gain.
    Proceedings of the 38th IEEE Conference on Decision and Control, USA, 1200 - 1205, 1999.
    pdf version
  111. N. Siebel, 0. Lang, F. Wirth, and A. Gräser.
    Robuste Positionierung eines Roboters mittels Visual Servoing unter Verwendung einer Trust-Region-Methode.
    In: Deutsche Forschungsvereinigung für Meß-, Regelungs- Systemtechnik e.V. (DFMRS), Jahrestagung 1999, Automatische Prozeßführung, Prozeßüberwachung and Montage, Bremen, Germany, 11.-12. November 1999, pp.23-39.
    pdf version
  112. M. Falcone, L. Grüne, and F. Wirth.
    A maximum time approach to the computation of robust domains of attraction.
    In B. Fiedler et al. eds., International Conference on Differential Equations, Equadiff 99, Berlin, 1999. Vol. 2. pp. 844 - 849. World Scientific, Singapore, 2000.
    pdf version
  113. L. Grüne, E.D. Sontag, and F.R. Wirth.
    On equivalence of exponential and asymptotic stability under changes of variables.
    In B. Fiedler et al. eds., International Conference on Differential Equations, Equadiff 99, Berlin, 1999. Vol. 2. pp. 850 - 852. World Scientific, Singapore, 2000.
    pdf version
  114. U. Helmke and F. Wirth.
    Controllability of the shifted inverse power iteration: The case of real shifts.
    In B. Fiedler et al. eds., International Conference on Differential Equations, Equadiff 99, Berlin, 1999. Vol. 2. pp. 859 - 864. World Scientific, Singapore, 2000.
    pdf version
  115. F. Wirth.
    Stabilität and Stabilisierung periodischer Systeme.
    20. Kolloquium der Automatisierungstechnik, Salzhausen 1998. In: B. Lohmann, A. Gräser (Hrsg.): Methoden und Anwendungen der Automatisierungstechnik, S. 43 - 51, Shaker Verlag, Aachen, 1999.
  116. L. Grüne and F. Wirth.
    On linear convergence of discounted optimal control problems with vanishing discount rate.
    Proceedings of the Symposium on Mathematical Theory of Networks and Systems, MTNS-98, Padova, Italy, 185 - 188, 1998.
    pdf version
  117. A.D.B. Paice and F. Wirth.
    Robustness analysis of domains of attraction of nonlinear systems.
    Proceedings of the Symposium on Mathematical Theory of Networks and Systems, MTNS-98, Padova, Italy, 353 - 356, 1998.
    pdf version
  118. F. Wirth.
    Dynamics and controllability of nonlinear discrete-time control systems.
    Preprints of the 4th IFAC Nonlinear Control Systems Design Symposium, NOLCOS98, Enschede, The Netherlands, 269 - 275, 1998.
    pdf version
  119. F. Wirth.
    Computing time-varying stability radii via discounted optimal control.
    Proceedings of the 36th Conference on Decision and Control, San Diego, California, USA, 3278 - 3283, 1997.
    pdf version
  120. A.D.B. Paice and F.R. Wirth.
    Robustness of nonlinear systems subject to time-varying perturbations.
    Proceedings of the 36th Conference on Decision and Control, San Diego, California, USA, 4436 - 4441, 1997.
    pdf version
  121. F. Wirth.
    Stability indices of infinite-dimensional discrete inclusions.
    Proceedings of the ECC'97, paper no. 394, session FR-M-E-5, Brussels, 1997.
    pdf version
  122. A.D.B. Paice and F.R. Wirth.
    Analysis of the local robustness of stability for maps.
    Proceedings of the ECC'97, paper no. 334, session TU-E-B-4, Brussels, 1997.
    pdf version
  123. D. Hinrichsen and F. Wirth.
    Lyapunov exponents of bilinear systems.
    Proceedings of the Workshop on Open Problems in Mathematical Systems Theory and Control, Liège, 42-45, 1997.
  124. A.D.B. Paice and F.R. Wirth.
    On robustness of nonlinear systems.
    Jahrestagung der Gesellschaft für angewandte Mathematik and Mechanik, GAMM'97, Regensburg March 1997. ZAMM, Supplement 3:1029-1030, 1998.
  125. L. Grüne and F. Wirth.
    Feedback stabilization of semi-linear discrete-time systems.
    Jahrestagung der Gesellschaft für angewandte Mathematik and Mechanik, GAMM'97, Regensburg März 1997. ZAMM, Supplement 3:925-926, 1998.
  126. F. Wirth.
    Universal controls for homogeneous discrete-time systems.
    In Proceedings of the 34th IEEE Conference on Decision and Control, New Orleans, Louisiana, USA, 25-26, 1995.
  127. F. Wirth.
    Lyapunov exponents of uncertain discrete-time systems.
    In Interval '94 St. Petersburg, Russia 1994, also appeared as The Floquet and Lyapunov spectra of discrete-time linear systems. Report 311, Institut für Dynamische Systeme, Universität Bremen 1994.

  1. F. Wirth.
    Stability Theory for Perturbed Systems.
    Habilitation Thesis, University of Bremen, January 2002.
  2. F. R. Wirth.
    Robust Stability of Discrete-Time Systems under Time-Varying Perturbations
    Dissertation, University of Bremen, July 1995.
  3. F. Wirth.
    An introduction to spectral theory of discrete-time linear time-varying systems.
    MTNS96, St. Louis, Missouri, 1996. Submitted to the Journal of Mathematical, Systems, Estimation, and Control. The refereeing process was not completed, when the Journal was discontinued.
    pdf version
  4. S.E. Alam, R. Shorten, F. Wirth, and J.Y. Yu
    Distributed multi-resource allocation with little communication overhead.
    pdf version, 2017
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