@inproceedings{4aa98116e2fa42318dba30ecd3ffc4c6,
title = "Topological entropy of switched nonlinear systems",
abstract = "This paper studies topological entropy of switched nonlinear systems. We construct a general upper bound for the topological entropy in terms of an average of the asymptotic suprema of the measures of Jacobian matrices of individual modes, weighted by the corresponding active rates. A general lower bound is constructed in terms of an active-rate-weighted average of the asymptotic infima of the traces of these Jacobian matrices. For switched systems with diagonal modes, we construct upper and lower bounds that only depend on the eigenvalues of Jacobian matrices, their relative order among individual modes, and the active rates. For both cases, we also construct more conservative upper bounds that require less information on the switching, with their relations illustrated by numerical examples of a switched Lotka-Volterra ecosystem model.",
keywords = "nonlinear systems, switched systems, topological entropy",
author = "Guosong Yang and Daniel Liberzon and Hespanha, {Jo{\~a}o P.}",
note = "G. Yang and J. P. Hespanha{\textquoteright}s work was supported by the Office of Naval Research MURI grant N00014-16-1-2710, and by the National Science Foundation grant EPCN-1608880. D. Liberzon{\textquoteright}s work was supported by the National Science Foundation grant CMMI-1662708, and by the Air Force Office of Scientific Research grant FA9550-17-1-0236.; 24th ACM International Conference on Hybrid Systems Computation and Control, HSCC 2021, held as part of the 14th Cyber Physical Systems and Internet-of-Things Week, CPS-IoT Week 2021 ; Conference date: 19-05-2021 Through 21-05-2021",
year = "2021",
month = may,
day = "19",
doi = "10.1145/3447928.3456642",
language = "English (US)",
series = "HSCC 2021 - Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control (part of CPS-IoT Week)",
publisher = "Association for Computing Machinery",
booktitle = "HSCC 2021 - Proceedings of the 24th International Conference on Hybrid Systems",
address = "United States",
}