Chair of Dynamical Systems
Dr. Christoph Kawan

Dr. Christoph Kawan

Journal articles

  1. S. Hafstein und C. Kawan
    Numerical approximation of the data-rate limit for state estimation under communication constraints
    Journal of Mathematical Analysis and Applications, Online veröffentlicht am 16. Januar 2019
    pdf version
  2. C. Kawan
    On the relation between topological entropy and restoration entropy
    Entropy 2019, 21(1), 7;
    pdf version
  3. A. Da Silva and C. Kawan
    Invariance entropy for a class of partially hyperbolic sets. 
    Math. Control Signals Syst. 30 (2018), no. 4, 40 p.
    pdf version
  4. C. Kawan and S. Yüksel
    On optimal coding of non-linear dynamical systems.
    IEEE Transactions on Information Theory 64 (2018), no. 10, 6816-6829.
    pdf version
  5. A. Da Silva and C. Kawan.
    Robustness of critical bit rates for practical stabilization of networked control systems.
    Automatica 93, 397-406 (2018)
    Journal page
  6. C. Kawan.
    Exponential state estimation, entropy and Lyapunov exponents.
    Systems & Control Letters 113, 78-85 (2018)
    Journal page  pdf version 
  7. C. Kawan.
    Uniformly hyperbolic control theory.
    Annual Reviews in Control 44, 89-96 (2017).
    Journal page pdf version
  8. C. Kawan.
    On the structure of uniformly hyperbolic chain control sets.
    Systems & Control Letters 90, 71-75 (2016)
    Journal pagepdf version
  9. A. Da Silva and C. Kawan.
    Invariance entropy of hyperbolic control sets
    .
    Discrete Contin. Dyn. Syst. 36, no. 1, 97-136 (2016)
    pdf version
  10. C. Kawan and Y. Latushkin.
    Some results on the entropy of non-autonomous dynamical systems.
    Dynamical Systems 31, no. 3, 251-279 (2016)
    Journal page  pdf version
  11. C. Kawan and J.-Ch. Delvenne.
    Network entropy and data rates required for networked control.

    IEEE Transactions on Control of Network Systems 3, no. 1, 57-66 (2016)
    Journal page  pdf version
  12. A. Da Silva and C. Kawan.
    Hyperbolic chain control sets on flag manifolds.
    J. Dyn. Control Syst. 22, no. 4, 725-745 (2016).
    Journal page pdf version
  13. C. Kawan.
    Expanding and expansive time-dependent dynamics.
     Nonlinearity 28, 669-695 (2015)
    to the article
  14. V. Ayala and C. Kawan.
    Topological conjugacy of real projective flows.
    J. Lond. Math. Soc., II. Ser. 90, No. 1, 49-66 (2014)
    to the article
  15. C. Kawan.
    Metric entropy of nonautonomous dynamical systems,
    Nonautonomous and Stochastic Dynamical Systems 1, 26-52 (2014)
    to the article
  16. F. Colonius, C. Kawan and G. Nair.
    A note on topological feedback entropy and invariance entropy
    .
    Systems & Control Letters 62, 377-381 (2013)
    to the article
  17. C. Kawan and T. Stender.
    Growth rates for semiflows on Hausdorff spaces.
    Journal of Dynamics and Differential Equations 24, 2, 369-390 (2012)
    to the article
  18. C. Kawan, O. G. Rocio and A. J. Santana.
    On topological conjugacy of left invariant flows on semisimple and affine Lie groups.
    Proyecciones (Antofagasta) 30, 2, 175-188 (2011)
    to the article
  19. C. Kawan.
    Lower bounds for the strict invariance entropy.
    Nonlinearity 24, 7, 1910-1936 (2011)
    to the article
  20. C. Kawan.
    Invariance entropy of control sets.
    SIAM J. Control Optim., 49, 2, 732-751 (2011)
    to the article
  21. F. Colonius and C. Kawan.
    Invariance entropy for outputs.
    Math. Control Signals Systems, 22, 3, 203-227 (2011)
    to the article
  22. C. Kawan.
    Upper and lower estimates for invariance entropy
    .
    Discrete Contin. Dyn. Syst., Vol. 30, 1, 169-186 (2011)
    to the article
  23. C. Kawan and T. Stender.
    Lipschitz conjugacy of linear flows
    .
    J. Lond. Math. Soc., II. Ser. 80, No. 3, 699-715 (2009)
    to the article
  24. F. Colonius and C. Kawan.
    Invariance entropy for control systems.

    SIAM J. Control Optim., 48, 3, 1701-1721 (2009)
    to the article
  25. C. Kawan.
    On expanding maps and topological conjugacy
    .
    J. Difference Equ. Appl. 13, No. 8-9, 803-820 (2007)
    to the article

Books and book chapters

  1. C. Kawan.
    Data-Rate of Nonlinear Control Systems and Feedback Entropy
    .
    Article in the Encyclopedia of Systems and Control (Tariq Samad and John Baillieul, Eds.), 2015.
    to the article
  2. C. Kawan.
    Monograph: Invariance Entropy for Deterministic Control Systems - An Introduction.
    Lecture Notes in Mathematics 2089. Berlin: Springer (2013).
    to the book
  3. F. Colonius, U. Helmke, J. Jordan, R. Sailer, C. Kawan and F. Wirth.
    Book Chapter: Analysis of Networked Systems.
    In: Control Theory of Digitally Networked Dynamic Systems (Jan Lunze, Ed.), 2014.
    to the book

Conference contribution

  1. C. Kawan.
    Entropy of nonautonomous dynamical systems.
    In: Differential and Difference Equations with Applications. ICDDEA, Amadora, Portugal (Juni 2017)
    Link to website 
  2. C. Kawan.
    State estimation, entropy and Lyapunov exponents.

    In: Decision and Control (CDC), 2017 IEEE 56th Conference. 952-957 (2017)
  3. C. Kawan and S. Yüksel.
    Metric and topological entropy bounds on state estimation for stochastic non-linear systems.
    In: IEEE International Symposium on Information Theory (ISIT, Aachen), 1455-1459 (2017).
  4. C. Kawan and S. Yüksel.
    Invariance and stationarity in non-linear networked control: deterministic and stochastic formulations
    In: Decision and Control (CDC), 2016 IEEE 55th Conference. 7353-7358.
    pdf version
  5. C. Kawan.
    Minimal data rates and entropy in digitally networked systems
    .
    PAMM Proc. Appl. Math. Mech. 15, 633 – 634 (2015).
    pdf version
  6. C. Kawan.
    Invariance entropy
    .
    PAMM Proc. Appl. Math. Mech. 11, 817–818 (2011).
    pdf version
  7. F. Colonius and C. Kawan.
    Weak invariance and entropy
    .
    In: Proceedings of the Conference Mathematical Theory of Networks and Systems (Blacksburg, Virginia July 28-August 1 2008).

Preprints

  1. C. Kawan und S. Yüksel
    Stochastic stabilization of dynamical systems over communication channels
    pdf version
  2. A. Da Silva und C. Kawan
    Lyapunov exponents and partial hyperbolicity of chain control sets on flag manifolds 
    To appear in: Israel Journal of Mathematics
    pdf version 
  3. C. Kawan und S. Yüksel.
    Entropy bounds on state estimation for stochastic non-linear systems under information constraints.
    pdf version

Other work

  1. C. Kawan.
    Nachweis topologischer Konjugiertheit mittels Fixpunktmethoden
    .
    Diploma thesis, University of Augsburg, July 2006.
    pdf version
  2. C. Kawan.
    Invariance Entropy for Control Systems.
    Dissertation, University of Augsburg, May 2009
    zur Dissertation
  3. C. Kawan.
    Numerische Berechnung von topologischer Entropie.
    pdf 1, pdf 2
  4. C. Kawan.
    Topological Entropy - A Survey.
    pdf version
  5. C. Kawan.
    A Note on Escape Rates.
    pdf version
  6. C. Kawan.
    Vorlesungsskript Numerik III (Computational Ergodic Theory).
    pdf version
  7. C. Kawan.
    Vorlesungsskript Dynamische Systeme.
    pdf version
  8. C. Kawan.
    A Short Introduction to Control Theory.
    pdf version
  9. C. Kawan.
    Vorlesungsskript Symbolische Dynamik und Kodierung
    pdf version
  10. C. Kawan.
    Vorlesungsskript Grundlagen der dynamischen Systeme.
    pdf version
  11. Mini-Workshop: Entropy, Information and Control (Oberwolfach, March 4-10, 2018), Mathematisches Forschungsinstitut Oberwolfach, Report No. 10/2018, DOI: 10.4171/OWR/2018/10. With Fritz Colonius, Tomasz Downarowicz, Girish Nair