Title :
ℒ2-induced gain analysis for a class of switched systems
Author :
Hirata, Kenji ; Hespanha, João P.
Author_Institution :
Dept. of Mech. Eng., Nagaoka Univ. of Technol., Nagaoka, Japan
Abstract :
This paper addresses the computation of the L2-induced gain for a class of switched systems. The main contribution of the paper is to completely characterize the induced gain of the switched system through a system of differential inequalities on a common storage function, one for each system being switched. The motivation for computing the induced gain of a switched system is the application of robust stability tools to the analysis of hybrid systems.
Keywords :
linear systems; robust control; stability; time-varying systems; L2-induced gain analysis; common storage function; differential inequalities system; robust stability; switched systems; Asymptotic stability; Control systems; Difference equations; Linear systems; Logic; Observability; Riccati equations; Robust stability; Sufficient conditions; Switched systems;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400616