摘要：This paper considers the problem of exponentialstabilization and L2-gain analysis for a class of nonlinearswitched uncertain systems with mixed time-varying delaysand exogenous disturbance.The parameter uncertainties withunknown time-varying matrix and the mixed time delayswith upper bound are firstly given. A novel multi-Lyapunov-Krasovskii functional dependent on the size of time delayis constructed blue by utilizing delay-dependent Lyapunovstability theory. Subsequently, based on Jensen’s inequality,Schur complement lemma and a lower bound on the averagedwell time of the switching signal, some sufficient conditionsare presented to ensure the exponential stability with weightedL2-gain performance of the nonlinear uncertain switched systemsunder the average dwell time (ADT) method. Finally, anumerical example and a practical example of river pollutioncontrol are given to illustrate the effectiveness of the approachproposed in this paper.
关键词：Switched uncertain systems; Multi-Lyapunov-;Krasovskii functional; L2-gain; Mixed time delays; Average;dwell time
