TY - GEN
T1 - Estimation Entropy for Regular Linear Switched Systems
AU - Vicinansa, Guilherme Scabin
AU - Liberzon, Daniel
N1 - The authors are with the Coordinated Sciences Laboratory, University of Illinois at Urbana-Champaign, 1308 W Main St, Urbana, USA. Email {gs16, liberzon}@illinois.edu. This work was supported by the NSF grant CMMI-1662708 and the AFOSR grant FA9550-17-1-0236.
PY - 2019/12
Y1 - 2019/12
N2 - In this paper, we introduce the concept of regular switched systems and we present some consequences of this property on the estimation entropy's calculation. For systems of such a class, one can derive a formula for the estimation entropy in terms of the system's Lyapunov exponents. We also present some sufficient conditions on the system that guarantee regularity. Some of those conditions include the cases of periodic switching, simultaneously triangularizable systems, and a large class of randomly switched systems that contains Markov Jump Linear Systems (MJLS) as a special case. For that last part, we use tools from ergodic theory to draw conclusions that hold almost surely.
AB - In this paper, we introduce the concept of regular switched systems and we present some consequences of this property on the estimation entropy's calculation. For systems of such a class, one can derive a formula for the estimation entropy in terms of the system's Lyapunov exponents. We also present some sufficient conditions on the system that guarantee regularity. Some of those conditions include the cases of periodic switching, simultaneously triangularizable systems, and a large class of randomly switched systems that contains Markov Jump Linear Systems (MJLS) as a special case. For that last part, we use tools from ergodic theory to draw conclusions that hold almost surely.
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U2 - 10.1109/CDC40024.2019.9030155
DO - 10.1109/CDC40024.2019.9030155
M3 - Conference contribution
AN - SCOPUS:85082441348
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 5754
EP - 5759
BT - 2019 IEEE 58th Conference on Decision and Control, CDC 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 58th IEEE Conference on Decision and Control, CDC 2019
Y2 - 11 December 2019 through 13 December 2019
ER -