Title :
ℒ2-induced gain analysis of switched linear systems via finitely parametrized storage functions
Author :
Hirata, K. ; Hespanha, Joao P.
Author_Institution :
Dept. of Mech. Eng., Nagaoka Univ. of Technol., Nagaoka, Japan
fDate :
June 30 2010-July 2 2010
Abstract :
This paper addresses the computation of the ℒ2-induced gain for switched linear systems. The main contribution of the paper is to completely characterize the induced gain of a switched system though a differential inequalities on a finitely parametrized common storage function, one equation 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 :
Jacobian matrices; asymptotic stability; linear systems; robust control; time-varying systems; ℒ2 induced gain analysis; Hamilton-Jacobi inequalities; exponential stability; finitely parametrized storage function; hybrid dynamical system; robust stability; switched linear system; Asymptotic stability; Control systems; Difference equations; Differential equations; Gain; Linear systems; Riccati equations; Sufficient conditions; Switched systems; Water storage;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5530535
