Publications in peer-reviewed journals, by topics

Stabilization under communication constraints

  • A. Da Silva, C. Kawan. Invariance entropy for a class of partially hyperbolic sets. Math. Control Signals Systems 30 (2018), no. 4, 40 p. Link to the article
  • A. Da Silva, C. Kawan. Robustness of critical bit rates for practical stabilization of networked control systems. Automatica 93 (2018), 397-406. Link to the article
  • C. Kawan, J.-Ch. Delvenne. Network entropy and data rates required for networked control. IEEE Trans. Control Netw. Syst. 3 (2016), no. 1, 57-66. Link to the article
  • A. Da Silva, C. Kawan. Invariance entropy of hyperbolic control sets. Discrete Contin. Dyn. Syst. 36 (2016), no. 1, 97-136. Link to the article
  • F. Colonius, C. Kawan, G. N. Nair. A note on topological feedback entropy and invariance entropy. Systems Control Lett. 62 (2013), no. 5, 377-381. Link to the article
  • C. Kawan. Lower bounds for the strict invariance entropy. Nonlinearity 24 (2011), no. 7, 1909-1935. Link to the article
  • C. Kawan. Invariance entropy of control sets. SIAM J. Control Optim. 49 (2011), no. 2, 732-751. Link to the article
  • F. Colonius, C. Kawan. Invariance entropy for outputs. Math. Control Signals Systems 22 (2011), no. 3, 203-227. Link to the article
  • C. Kawan. Upper and lower estimates for invariance entropy. Discrete Contin. Dyn. Syst. 30 (2011), no. 1, 169-186. Link to the article
  • F. Colonius, C. Kawan. Invariance entropy for control systems. SIAM J. Control Optim. 48 (2009), no. 3, 1701-1721. Link to the article

State estimation under communication constraints

  • C. Kawan, S. Yüksel. Metric and topological entropy bounds for optimal coding of stochastic dynamical systems. IEEE Trans. Autom. Control, 2019. Link to the article
  • S. Hafstein, C. Kawan. Numerical computation of the data-rate limit for state estimation under communication constraints. J. Math. Anal. Appl. 473 (2019), no. 2, 1280-1304. Link to the article
  • C. Kawan. On the relation between topological entropy and restoration entropy. Entropy 2019, 21(1), 7. Link to the article
  • C. Kawan, S. Yüksel. On optimal coding of non-linear dynamical systems. IEEE Trans. Inf. Theory 64 (2018), no. 10, 6816-6829. Link to the article
  • C. Kawan. Exponential state estimation, entropy and Lyapunov exponents. Systems Control Lett. 113 (2018), 78-85. Link to the article

Systems on flag manifolds

  • A. Da Silva, C. Kawan. Lyapunov exponents and partial hyperbolicity of chain control sets on flag manifolds. Isr. J. Math. 232 (2019), 947-1000. Link to the article
  • A. Da Silva. C. Kawan. Hyperbolic chain control sets on flag manifolds. J. Dyn. Control Syst. 22 (2016), no. 4, 725-745. Link to the article

Nonautonomous dynamical systems

  • C. Kawan, Y. Latushkin. Some results on the entropy of non-autonomous dynamical systems. Dyn. Syst. 31 (2016), no. 3, 251-279. Link to the article
  • C. Kawan. Expanding and expansive time-dependent dynamics. Nonlinearity 28 (2015), no. 3, 669-695. Link to the article
  • C. Kawan. Metric entropy of nonautonomous dynamical systems. Nonauton. Dyn. Syst. 1 (2014), 26-52. Link to the article

Topological classification of dynamical systems

  • V. Ayala, C. Kawan. Topological conjugacy of real projective flows. J. Lond. Math. Soc. (2) 90 (2014), no. 1, 49-66. Link to the article
  • C. Kawan, O. G. Rocio, A. Santana. On topological conjugacy of left invariant flows on semisimple and affine Lie groups. Proyecciones 30 (2011), no. 2, 175-188. Link to the article
  • C. Kawan, T. Stender. Lipschitz conjugacy of linear flows. J. Lond. Math. Soc. (2) 80 (2009), no. 3, 699-715. Link to the article
  • C. Kawan. On expanding maps and topological conjugacy. J. Difference Equ. Appl. 13 (2007), no. 8-9, 803-820. Link to the article

Miscellaneous

  • C. Kawan. Editorial: Entropy in Networked Control. Entropy 2019, 21(4), 392. Link to the article
  • C. Kawan. Uniformly hyperbolic control theory. Ann. Rev. Control 44 (2017), 89-96. Link to the article
  • C. Kawan. On the structure of uniformly hyperbolic chain control sets. Systems Control Lett. 90 (2016), 71-75. Link to the article
  • C. Kawan, T. Stender. Growth rates for semiflows on Hausdorff spaces. J. Dynam. Differential Equations 24 (2012), no. 2, 369-390. Link to the article

Publications in conference proceedings

  • C. Kawan, S. Yüksel. Stochastic stability of nonlinear dynamical systems under information constraints. IEEE Information Theory Workshop, Visby, Gotland, Sweden (August 25-28, 2019)
  • C. Kawan. Entropy of nonautonomous dynamical systems. In: Differential and Difference Equations with Applications. ICDDEA, Amadora, Portugal (June 2017)
  • C. Kawan. State estimation, entropy and Lyapunov exponents. In: Decision and Control (CDC), 2017 IEEE 56th Conference. 952-957 (2017)
  • C. Kawan, 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)
  • C. Kawan, 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 (2016)
  • C. Kawan. Minimal data rates and entropy in digitally networked systems. PAMM Proc. Appl. Math. Mech. 15, 633-634 (2015)
  • C. Kawan. Invariance entropy. PAMM Proc. Appl. Math. Mech. 11, 817-818 (2011)
  • F. Colonius, C. Kawan. Weak invariance and entropy. In: Proceedings of the Conference Mathematical Theory of Networks and Systems (Blacksburg, Virginia July 28-August 1 2008)

Books and book chapters

  • C. Kawan. Data-Rate of Nonlinear Control Systems and Feedback Entropy. In: Encyclopedia of Systems and Control (J. Baillieul and S. Tariq, Eds.), 2015. Link to the article
  • F. Colonius, U. Helmke, J. Jordan, C. Kawan, R. Sailer und F. Wirth. Analysis of Networked Systems. In: Control Theory of Digitally Networked Dynamic Systems, (J. Lunze, Ed.), 2014. Link to the book
  • C. Kawan. Invariance entropy for Deterministic Control Systems. An Introduction. Lecture Notes in Mathematics, 2089. Springer, Cham, 2013. Link to the book

Preprints

  • A. Mironchenko, C. Kawan, J. Glück. Nonlinear small-gain theorems for input-to-state stability of infinite interconnections. Submitted journal paper, 2020. Link to the arXiv preprint
  • C. Kawan, A. Matveev, A. Pogromsky. Remote state estimation problem: characterization of the data rate limits. Submitted journal paper, 2020. Link to the arXiv preprint
  • M. S. Tomar, C. Kawan, P. Jagtap, M. Zamani. Numerical estimation of invariance entropy for nonlinear control systems. Submitted conference paper, 2020. Link to the arXiv preprint
  • C. Kawan. Control of chaos with minimal information transfer. Submitted journal paper, 2020 Link to the arXiv preprint
  • N. Noroozi, A. Mironchenko, C. Kawan, M. Zamani. Set stability of infinite networks: ISS small-gain theory and its applications. Accepted for presentation at the 24th International Symposium on Mathematical Theory of Networks and Systems in Cambridge, 2021.
  • N. Noroozi, A. Mironchenko, C. Kawan, M. Zamani. Small-gain theorem for stability, cooperative control and distributed observation of infinite networks. Submitted journal paper, 2020. Link to the arXiv preprint
  • N. Garcia, C. Kawan, S. Yüksel. Ergodicity conditions for controlled stochastic nonlinear systems under information constraints. Accepted for presentation at the 24th International Symposium on Mathematical Theory of Networks and Systems in Cambridge, 2021.
  • N. Garcia, C. Kawan, S. Yüksel. Ergodicity conditions for controlled stochastic nonlinear systems under information constraints: A volume growth approach. Submitted journal paper, 2020. Link to the arXiv preprint
  • C. Kawan, A. Mironchenko, A. Swikir, N. Noroozi, M. Zamani. A spectral small-gain condition for input-to-state stability of infinite networks. Accepted for presentation at the 21st IFAC World Congress in Berlin, 2020.
  • C. Kawan, A. Mironchenko, A. Swikir, N. Noroozi, M. Zamani. A Lyapunov-based small-gain theorem for infinite networks. Submitted journal paper, 2019. Link to the arXiv preprint
  • C. Kawan, A. Matveev, A. Y. Pogromsky. Data rate limits for the remote state estimation problem. Accepted for presentation at the 21st IFAC World Congress in Berlin, 2020.
  • C. Kawan, S. Yüksel. Invariance properties of controlled stochastic nonlinear systems under information constraints. Accepted for publication in IEEE Trans. Automat. Control, 2020. Link to the arXiv preprint
  • N. Noroozi, A. Mironchenko, C. Kawan, M. Zamani. Small-gain theorem for stability, cooperative control and distributed observation of infinite networks. 2020. Link to the arXiv preprint
  • N. Garcia, C. Kawan, S. Yüksel. Ergodicity conditions for controlled stochastic non-linear systems under information constraints. 2020. Link to the arXiv preprint
  • C. Kawan, A. Mironchenko, A. Swikir, N. Noroozi, M. Zamani. A Lyapunov-based small-gain theorem for infinite networks. 2019. Link to the arXiv preprint
  • C. Kawan, A. Matveev, A. Y. Pogromsky. Data rate limits for the remote state estimation problem. 2019.
  • C. Kawan, S. Yüksel. Invariance properties of controlled stochastic nonlinear systems under information constraints. 2019. Link to the arXiv preprint

Other

  • Invariance entropy for control systems. Dissertation, Univ. Augsburg, 2010. Link to the PDF
  • Nachweis topologischer Konjugiertheit mittels Fixpunktmethoden. Diploma thesis, Univ. Augsburg, 2006. PDF
  • Lecture notes "Analysis II" (German). Lecture given in the winter term 2018/19 (Univ. Passau). PDF
  • Lecture notes "Grundlagen der dynamischen Systeme" (German). Lecture given in the winter term 2017/18 (Univ. Passau). PDF
  • Vorlesungsskript "Symbolische Dynamik und Kodierung". Lecture given in the winter term 2015/16 (Univ. Passau). PDF
  • Notizen "A Short Introduction to Control Theory". Introductory course about control theory, held at the Courant Dynamics Seminar, Courant Institute of Mathematical Sciences (NYU, New York), Feb. 2014. PDF
  • Vorlesungsskript "Dynamische Systeme". Lecture given in the winter term 2013/14 (Univ. Augsburg). PDF
  • Vorlesungsskript "Differentialformen in der algebraischen Topologie". Lecture given by Dr. Emanuel Scheidegger in the summer term 2010 (Univ. Augsburg)
  • Vorlesungsskript "Numerik III (Computational Ergodic Theory)". Lecture given by Prof. Fritz Colonius in the winter term 2008/09 (Univ. Augsburg). PDF
  • (Mit F. Colonius, T. Downarowicz, G. Nair) Report "Mini-Workshop: Entropy, Information and Control". (Oberwolfach, March 4-10, 2018), Mathematisches Forschungsinstitut Oberwolfach, Report No.\ 10/2018. Link to the report
  • Topological Entropy - A Survey. 2013. PDF