Christoph Kawan - Google Scholar
Angestellter, Ludwig-Maximilians-Universität München - 1.188-mal zitiert - Networked control - control under communication constraints - nonautonomous dynamical systems.
A note on topological feedback entropy and invariance entropy
2013年5月1日 · We introduce the notions of q -invariance entropy and q -metric invariance entropy for control systems by Carathéodory–Pesin structures. We obtain some basic properties of these entropies and some… 2015 54th IEEE Conference on Decision and Control…
[PDF] Invariance Entropy for Control Systems - Semantic Scholar
2009年4月1日 · In this paper, the concept of invariance entropy for continuous‐time control systems is introduced. This quantity measures the minimal data rate necessary to render a compact subset of the state…
A note on topological feedback entropy and invariance entropy
2013年5月1日 · Topological entropy has been constructed in strict analogy to the measure-theoretic entropy due to Kolmogorov and Sinai, where for an invariant measure μ instead of open covers measurable partitions ξ = {C α} α ∈ A are taken and H (ξ) ≔ − ∑ α μ (C α) log μ (C α); see, e.g., Katok and Hasselblatt [14, Chapter 4], Downarowicz ...
Exponential state estimation, entropy and Lyapunov exponents
2016年5月10日 · This paper shows that estimation entropy is closely related to the a-entropy, a concept introduced by Thieullen, and provides a lower estimate for estimation entropy in terms of Lyapunov exponents under the assumption of an absolutely continuous invariant measure with a bounded density.
Invariance entropy is an intrinsic quantity of the open-loop system and shares several properties with the classical entropy quantities in the field of dynamical systems. Some of these properties, in particular relations to Lyapunov exponents, are pointed out. c 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim.
Numerical over-approximation of invariance entropy via finite ...
2022年12月1日 · We generalize the formula for the calculation of entropy of invariant partitions obtained by Tomar, Kawan, and Zamani (2022) to quasi-invariant-partitions. Under some reasonable assumptions, we obtain two explicit formulas of invariance entropy for uncertain control systems and invariance feedback entropy for finite controlled invariant sets.
Invariance Entropy - Kawan - 2011 - PAMM - Wiley Online Library
In this paper, the concept of invariance entropy for continuous-time control systems is introduced. This quantity measures the minimal data rate necessary to render a compact subset of the state spac...
Invariance Entropy for Control Systems | SIAM Journal on Control …
For continuous time control systems, this paper introduces invariance entropy as a measure for the amount of information necessary to achieve invariance of weakly invariant compact subsets of the state space. Upper and lower bounds are derived; in particular, finiteness is proven.
A small-gain theorem for set stability of infinite networks ...
2022年9月1日 · We generalize a small-gain theorem for a network of infinitely many systems, recently developed in [Kawan et. al, IEEE TAC (2021)]. The generalized small-gain theorem addresses exponential input-to-state stability with respect to closed sets, which enables us to study diverse control-theoretic problems in a unified manner, and it also allows ...
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