TY - GEN
T1 - Average Dwell-Time Bounds for ISS and Integral ISS of Switched Systems using Lyapunov Functions
AU - Liu, Shenyu
AU - Tanwani, Aneel
AU - Liberzon, Daniel
N1 - Funding Information:
S. Liu and D. Liberzon were supported by the NSF grant CMMI-1662708 and the AFOSR grant FA9550-17-1-0236. A. Tanwani was supported by ANR project ConVan with grant number ANR-17-CE40-0019-01.
Publisher Copyright:
© 2020 IEEE.
PY - 2020/12/14
Y1 - 2020/12/14
N2 - The problem of input-to-state stability (ISS), and its integral version (iISS), is considered for switched systems with inputs and resets. The individual subsystems are assumed to be ISS (resp. iISS) with nonlinear decay rates in dissipation inequalities associated with the Lyapunov function of each subsystem. The change in the value of Lyapunov functions at switching instants is described by a nonlinear growth function. A generalized lower bound is computed for average dwell-time (ADT) to guarantee ISS/iISS of the switched system. In particular, an explicit formula of ADT lower bound is given for switched bilinear systems with zero-input-stable subsystems.
AB - The problem of input-to-state stability (ISS), and its integral version (iISS), is considered for switched systems with inputs and resets. The individual subsystems are assumed to be ISS (resp. iISS) with nonlinear decay rates in dissipation inequalities associated with the Lyapunov function of each subsystem. The change in the value of Lyapunov functions at switching instants is described by a nonlinear growth function. A generalized lower bound is computed for average dwell-time (ADT) to guarantee ISS/iISS of the switched system. In particular, an explicit formula of ADT lower bound is given for switched bilinear systems with zero-input-stable subsystems.
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U2 - 10.1109/CDC42340.2020.9304445
DO - 10.1109/CDC42340.2020.9304445
M3 - Conference contribution
AN - SCOPUS:85099880133
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 6291
EP - 6296
BT - 2020 59th IEEE Conference on Decision and Control, CDC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 59th IEEE Conference on Decision and Control, CDC 2020
Y2 - 14 December 2020 through 18 December 2020
ER -