An LMI approach to L(2) gain analysis of uncertain switched systems

This paper investigates the L(2) 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 L(2) gain analysis is to characterize conditions under which an uncertain switched system is uniformly quadratically stable (UQS) with an L(2) gain smaller than a constant gamma for all admissible uncertainties. All results in this paper are expressed in terms of LMIs, which can be easily tested with efficient LMI algorithms.Automation & Control SystemsComputer Science, Artificial IntelligenceComputer Science, CyberneticsComputer Science, Interdisciplinary ApplicationsComputer Science, Software EngineeringRoboticsCPCI-S(ISTP)