An LMI approach to L2 gain analysis of uncertain switched systems

This paper investigates the L2 gain analysis of uncertain discrete-time switched systems under arbitrary switching by linear matrix inequality (LMI) approach together with switched Lyapunov function (SLF) method. The L2 gain analysis is to characterize conditions under which an uncertain switched system is uniformly quadratically stable (UQS) with an L2 gain smaller than a constant ?? for all admissible uncertainties. All results in this paper are expressed in terms of LMIs, which can be easily tested with efficient LMI algorithms.EI