@inproceedings{86b9148d36dd4332a7af664f1e71cb63,
title = "On topological entropy and stability of switched linear systems",
abstract = "This paper studies topological entropy and stability properties of switched linear systems. First, we show that the exponential growth rates of solutions of a switched linear system are essentially upper bounded by its topological entropy. Second, we estimate the topological entropy of a switched linear system by decomposing it into a part that is generated by scalar multiples of the identity matrix and a part that has zero entropy, and proving that the overall topological entropy is upper bounded by that of the former. Third, we prove that a switched linear system is globally exponentially stable if its topological entropy remains zero under a destabilizing perturbation. Finally, the entropy estimation via decomposition and the entropy-based stability condition are applied to three classes of switched linear systems to construct novel upper bounds for topological entropy and novel sufficient conditions for global exponential stability.",
keywords = "Stability, Switched systems, Topological entropy",
author = "Guosong Yang and Hespanha, {Jo{\~a}o P.} and Daniel Liberzon",
note = "Publisher Copyright: {\textcopyright} 2019 ACM.; 22nd ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2019 ; Conference date: 16-04-2019 Through 18-04-2019",
year = "2019",
month = apr,
day = "16",
doi = "10.1145/3302504.3311815",
language = "English (US)",
series = "HSCC 2019 - Proceedings of the 2019 22nd ACM International Conference on Hybrid Systems: Computation and Control",
publisher = "Association for Computing Machinery",
pages = "119--127",
booktitle = "HSCC 2019 - Proceedings of the 2019 22nd ACM International Conference on Hybrid Systems",
address = "United States",
}