TY - GEN
T1 - On Stability of Nonlinear Slowly Time-Varying and Switched Systems
AU - Gao, Xiaobin
AU - Liberzon, Daniel
AU - Basar, Tamer
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/7/2
Y1 - 2018/7/2
N2 - In this paper, we apply a total variation approach to bridge the stability criteria for nonlinear time-varying systems and nonlinear switched systems. In particular, we derive a set of stability conditions applying to both nonlinear time-varying systems and nonlinear switched systems. We show that the derived stability conditions, when applied to nonlinear time-varying systems and nonlinear switched systems, recover the existing stability results in the literature. We also show that the derived stability conditions can be applied to qualitatively recover a unified stability criterion for slowly time-varying linear systems and switched linear systems proposed in our recent work.
AB - In this paper, we apply a total variation approach to bridge the stability criteria for nonlinear time-varying systems and nonlinear switched systems. In particular, we derive a set of stability conditions applying to both nonlinear time-varying systems and nonlinear switched systems. We show that the derived stability conditions, when applied to nonlinear time-varying systems and nonlinear switched systems, recover the existing stability results in the literature. We also show that the derived stability conditions can be applied to qualitatively recover a unified stability criterion for slowly time-varying linear systems and switched linear systems proposed in our recent work.
UR - http://www.scopus.com/inward/record.url?scp=85062195498&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85062195498&partnerID=8YFLogxK
U2 - 10.1109/CDC.2018.8618955
DO - 10.1109/CDC.2018.8618955
M3 - Conference contribution
AN - SCOPUS:85062195498
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 6458
EP - 6463
BT - 2018 IEEE Conference on Decision and Control, CDC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 57th IEEE Conference on Decision and Control, CDC 2018
Y2 - 17 December 2018 through 19 December 2018
ER -