TY - GEN
T1 - Analysis of different Lyapunov function constructions for interconnected hybrid systems
AU - Yang, Guosong
AU - Liberzon, Daniel
AU - Mironchenko, Andrii
PY - 2016/12/27
Y1 - 2016/12/27
N2 - This paper studies stability of interconnections of hybrid dynamical systems, in the general scenario that the continuous or discrete dynamics of subsystems may have destabilizing effects. We analyze two existing methods of constructing Lyapunov functions for the interconnection based on candidate ISS Lyapunov functions for subsystems, small-gain conditions, and auxiliary timers modeling restrictions on jump frequency in terms of average dwell-time and reverse average dwell-time. We compare their feasibility and limitations for different types of subsystem dynamics, and examine a case that the combination of them is needed to establish global asymptotic stability.
AB - This paper studies stability of interconnections of hybrid dynamical systems, in the general scenario that the continuous or discrete dynamics of subsystems may have destabilizing effects. We analyze two existing methods of constructing Lyapunov functions for the interconnection based on candidate ISS Lyapunov functions for subsystems, small-gain conditions, and auxiliary timers modeling restrictions on jump frequency in terms of average dwell-time and reverse average dwell-time. We compare their feasibility and limitations for different types of subsystem dynamics, and examine a case that the combination of them is needed to establish global asymptotic stability.
UR - http://www.scopus.com/inward/record.url?scp=85010739124&partnerID=8YFLogxK
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U2 - 10.1109/CDC.2016.7798312
DO - 10.1109/CDC.2016.7798312
M3 - Conference contribution
AN - SCOPUS:85010739124
T3 - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
SP - 465
EP - 470
BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 55th IEEE Conference on Decision and Control, CDC 2016
Y2 - 12 December 2016 through 14 December 2016
ER -