ℒ2-induced gain analysis for a class of switched systems

This paper addresses the computation of the L
₂
-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.