A Lyapunov-Based Small-Gain Theory for Infinite Networks via Infinite-Dimensional Gain Operators.

Christoph Kawan

Christoph Kawan Majid Zamani 0001 A Lyapunov-Based Small-Gain Theory for Infinite Networks via Infinite-Dimensional Gain Operators. 1778-1804 2023 June 61 SIAM J. Control. Optim. 3 https://doi.org/10.1137/21m1465500 db/journals/siamco/siamco61.html#KawanZ23

Christoph Kawan Andrii Mironchenko Majid Zamani 0001 A Lyapunov-Based ISS Small-Gain Theorem for Infinite Networks of Nonlinear Systems. 1447-1462 2023 March 68 IEEE Trans. Autom. Control. 3 https://doi.org/10.1109/TAC.2022.3187949 https://www.wikidata.org/entity/Q114821277 db/journals/tac/tac68.html#KawanMZ23

Navid Noroozi Andrii Mironchenko Christoph Kawan Majid Zamani 0001 A small-gain theorem for set stability of infinite networks: Distributed observation and ISS for time-varying networks. 100634 2022 67 Eur. J. Control https://doi.org/10.1016/j.ejcon.2022.100634 https://www.wikidata.org/entity/Q113875479 db/journals/ejcon/ejcon67.html#NorooziMKZ22

Mahendra Singh Tomar Christoph Kawan Majid Zamani 0001 Numerical over-approximation of invariance entropy via finite abstractions. 105395 2022 170 Syst. Control. Lett. https://doi.org/10.1016/j.sysconle.2022.105395 db/journals/scl/scl170.html#TomarKZ22

Mauricio S. Louzeiro Christoph Kawan Sigurdur F. Hafstein Peter Giesl Jinyun Yuan A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems. 2610-2641 2022 December 21 SIAM J. Appl. Dyn. Syst. 4 https://doi.org/10.1137/22m1475776 db/journals/siamads/siamads21.html#LouzeiroKHGY22

Christoph Kawan Alexey S. Matveev Alexander Yu. Pogromsky Remote state estimation problem: Towards the data-rate limit along the avenue of the second Lyapunov method. 109467 2021 125 Autom. https://doi.org/10.1016/j.automatica.2020.109467 db/journals/automatica/automatica125.html#KawanMP21

Andrii Mironchenko Christoph Kawan Jochen Glück Nonlinear small-gain theorems for input-to-state stability of infinite interconnections. 573-615 2021 33 Math. Control. Signals Syst. 4 https://doi.org/10.1007/s00498-021-00303-0 https://www.wikidata.org/entity/Q113904978 db/journals/mcss/mcss33.html#MironchenkoKG21

Andrii Mironchenko Navid Noroozi Christoph Kawan Majid Zamani 0001 ISS small-gain criteria for infinite networks with linear gain functions. 105051 2021 157 Syst. Control. Lett. https://doi.org/10.1016/j.sysconle.2021.105051 https://www.wikidata.org/entity/Q114828233 db/journals/scl/scl157.html#MironchenkoNKZ21

Christoph Kawan Sigurdur F. Hafstein Peter Giesl A Subgradient Algorithm for Data-Rate Optimization in the Remote State Estimation Problem. 2142-2173 2021 20 SIAM J. Appl. Dyn. Syst. 4 https://doi.org/10.1137/21M1406453 db/journals/siamads/siamads20.html#KawanHG21

Nicolás Garcia Christoph Kawan Serdar Yüksel Ergodicity Conditions for Controlled Stochastic Nonlinear Systems under Information Constraints: A Volume Growth Approach. 534-560 2021 59 SIAM J. Control. Optim. 1 https://doi.org/10.1137/20M1315920 db/journals/siamco/siamco59.html#GarciaKY21

Christoph Kawan Sigurdur Freyr Hafstein Peter Giesl ResEntSG: Restoration entropy estimation for dynamical systems via Riemannian metric optimization. 100743 2021 15 SoftwareX https://doi.org/10.1016/j.softx.2021.100743 https://www.wikidata.org/entity/Q113099814 db/journals/softx/softx15.html#KawanHG21

Christoph Kawan Serdar Yüksel Invariance Properties of Controlled Stochastic Nonlinear Systems Under Information Constraints. 4514-4529 2021 66 IEEE Trans. Autom. Control. 10 https://doi.org/10.1109/TAC.2020.3030846 db/journals/tac/tac66.html#KawanY21

Christoph Kawan Andrii Mironchenko Abdalla Swikir Navid Noroozi Majid Zamani 0001 A Lyapunov-Based Small-Gain Theorem for Infinite Networks. 5830-5844 2021 66 IEEE Trans. Autom. Control. 12 https://doi.org/10.1109/TAC.2020.3042410 db/journals/tac/tac66.html#KawanMSNZ21

Nicolás Garcia Christoph Kawan Serdar Yüksel Ergodicity of Controlled Stochastic Nonlinear Systems under Information Constraints: Refined Bounds via Splitting. 3887-3892 2021 CDC https://doi.org/10.1109/CDC45484.2021.9683730 conf/cdc/2021 db/conf/cdc/cdc2021.html#GarciaKY21 Christoph Kawan Andrii Mironchenko Majid Zamani 0001 Construction of ISS Lyapunov functions for infinite networks of ISS systems. 4811-4816 2021 CDC https://doi.org/10.1109/CDC45484.2021.9683184 conf/cdc/2021 db/conf/cdc/cdc2021.html#KawanMZ21 Andrii Mironchenko Navid Noroozi Christoph Kawan Majid Zamani 0001 A small-gain approach to ISS of infinite networks with homogeneous gain operators. 4817-4822 2021 CDC https://doi.org/10.1109/CDC45484.2021.9683337 conf/cdc/2021 db/conf/cdc/cdc2021.html#MironchenkoNKZ21

Christoph Kawan Serdar Yüksel Metric and Topological Entropy Bounds for Optimal Coding of Stochastic Dynamical Systems. 2466-2479 2020 65 IEEE Trans. Autom. Control. 6 https://doi.org/10.1109/TAC.2019.2937732 db/journals/tac/tac65.html#KawanY20

Mahendra Singh Tomar Christoph Kawan Pushpak Jagtap Majid Zamani 0001 Numerical Estimation of Invariance Entropy for Nonlinear Control Systems. 2020 abs/2004.04779 CoRR https://arxiv.org/abs/2004.04779 db/journals/corr/corr2004.html#abs-2004-04779

Christoph Kawan On the Relation between Topological Entropy and Restoration Entropy. 7 2019 21 Entropy 1 https://doi.org/10.3390/e21010007 https://www.wikidata.org/entity/Q103832520 db/journals/entropy/entropy21.html#Kawan19

Christoph Kawan Editorial: Entropy in Networked Control. 392 2019 21 Entropy 4 https://doi.org/10.3390/e21040392 https://www.wikidata.org/entity/Q103833147 db/journals/entropy/entropy21.html#Kawan19a

Christoph Kawan Serdar Yüksel Stochastic stability of nonlinear dynamical systems under information constraints<sup>*</sup>. 1-5 2019 ITW https://doi.org/10.1109/ITW44776.2019.8989265 conf/itw/2019 db/conf/itw/itw2019.html#KawanY19

Christoph Kawan Serdar Yüksel Stochastic stabilization of dynamical systems over communication channels. 2019 abs/1901.02825 CoRR http://arxiv.org/abs/1901.02825 db/journals/corr/corr1901.html#abs-1901-02825

Adriano Da Silva 0001 Christoph Kawan Robustness of critical bit rates for practical stabilization of networked control systems. 397-406 2018 93 Autom. https://doi.org/10.1016/j.automatica.2018.03.042 db/journals/automatica/automatica93.html#SilvaK18

Christoph Kawan Adriano Da Silva 0001 Invariance entropy for a class of partially hyperbolic sets. 18:1-18:40 2018 30 Math. Control. Signals Syst. 4 https://doi.org/10.1007/s00498-018-0224-2 https://www.wikidata.org/entity/Q129019411 db/journals/mcss/mcss30.html#KawanS18

Christoph Kawan Exponential state estimation, entropy and Lyapunov exponents. 78-85 2018 113 Syst. Control. Lett. https://doi.org/10.1016/j.sysconle.2018.01.011 https://www.wikidata.org/entity/Q115566767 db/journals/scl/scl113.html#Kawan18

Christoph Kawan Serdar Yüksel On Optimal Coding of Non-Linear Dynamical Systems. 6816-6829 2018 64 IEEE Trans. Inf. Theory 10 https://doi.org/10.1109/TIT.2018.2844211 db/journals/tit/tit64.html#KawanY18

Christoph Kawan On the relation between topological entropy and restoration entropy. 2018 abs/1811.11607 CoRR http://arxiv.org/abs/1811.11607 db/journals/corr/corr1811.html#abs-1811-11607

Christoph Kawan Uniformly hyperbolic control theory. 89-96 2017 44 Annu. Rev. Control. https://doi.org/10.1016/j.arcontrol.2017.02.001 db/journals/arc/arc44.html#Kawan17

Christoph Kawan State estimation, entropy and Lyapunov exponents. 952-957 2017 CDC https://doi.org/10.1109/CDC.2017.8263781 conf/cdc/2017 db/conf/cdc/cdc2017.html#Kawan17 Christoph Kawan Serdar Yüksel Metric and topological entropy bounds on state estimation for stochastic non-linear systems. 1455-1459 2017 ISIT https://doi.org/10.1109/ISIT.2017.8006770 conf/isit/2017 db/conf/isit/isit2017.html#KawanY17

Christoph Kawan Serdar Yüksel On optimal coding of non-linear dynamical systems. 2017 abs/1711.06600 CoRR http://arxiv.org/abs/1711.06600 db/journals/corr/corr1711.html#abs-1711-06600

Christoph Kawan On the structure of uniformly hyperbolic chain control sets. 71-75 2016 90 Syst. Control. Lett. https://doi.org/10.1016/j.sysconle.2015.12.018 db/journals/scl/scl90.html#Kawan16

Christoph Kawan Jean-Charles Delvenne Network Entropy and Data Rates Required for Networked Control. 57-66 2016 3 IEEE Trans. Control. Netw. Syst. 1 https://doi.org/10.1109/TCNS.2015.2440551 db/journals/tcns/tcns3.html#KawanD16

Christoph Kawan Serdar Yüksel Invariance and stationarity in non-linear networked control: Deterministic and stochastic formulations. 7353-7358 2016 CDC https://doi.org/10.1109/CDC.2016.7799405 conf/cdc/2016 db/conf/cdc/cdc2016.html#KawanY16

Christoph Kawan Serdar Yüksel Entropy bounds on state estimation for stochastic non-linear systems under information constraints. 2016 abs/1612.00564 CoRR http://arxiv.org/abs/1612.00564 db/journals/corr/corr1612.html#KawanY16

Christoph Kawan Data Rate of Nonlinear Control Systems and Feedback Entropy. 2015 Encyclopedia of Systems and Control https://doi.org/10.1007/978-1-4471-5102-9_150-1 reference/sc/2015 db/reference/sc/sc2015.html#Kawan15

Víctor Ayala Christoph Kawan Topological conjugacy of real projective flows. 49-66 2014 90 J. Lond. Math. Soc. 1 https://doi.org/10.1112/jlms/jdu020 db/journals/jlms/jlms90.html#AyalaK14

Fritz Colonius Christoph Kawan Girish N. Nair A note on topological feedback entropy and invariance entropy. 377-381 2013 62 Syst. Control. Lett. 5 https://doi.org/10.1016/j.sysconle.2013.01.008 db/journals/scl/scl62.html#ColoniusKN13

Fritz Colonius Christoph Kawan Invariance entropy for outputs. 203-227 2011 22 Math. Control. Signals Syst. 3 https://doi.org/10.1007/s00498-011-0056-9 db/journals/mcss/mcss22.html#ColoniusK11

Christoph Kawan Invariance Entropy of Control Sets. 732-751 2011 49 SIAM J. Control. Optim. 2 https://doi.org/10.1137/100783340 db/journals/siamco/siamco49.html#Kawan11

Fritz Colonius Christoph Kawan Invariance Entropy for Control Systems. 1701-1721 2009 48 SIAM J. Control. Optim. 3 https://doi.org/10.1137/080713902 db/journals/siamco/siamco48.html#ColoniusK09

Víctor Ayala Fritz Colonius Jean-Charles Delvenne Nicolás GarcíaNicolás Garcia Peter Giesl Jochen Glück Sigurdur F. HafsteinSigurdur Freyr Hafstein Pushpak Jagtap Mauricio S. Louzeiro Alexey S. Matveev Andrii Mironchenko Girish N. Nair Navid Noroozi Alexander Yu. Pogromsky Adriano Da Silva 0001 Abdalla Swikir Mahendra Singh Tomar Jinyun Yuan Serdar Yüksel Majid Zamani 0001