Robust stabilization and L2-gain analysis for uncertain switched systems with time-varying delay

The delay-dependent robust exponential stabilization and L2-gain analysis of the uncertain switched systems with time-varying delay by memoryless state-feedback controllers are studied. The delay-dependent sufficient condition of robust exponential stabilization and satisfying relevant weighting L2-gain for switched systems with time-varying delay is presented by using the average dwell time method and free weighting matrix method. The design method of the switching law is also given. The sufficient condition is obtained by using the less numbers of free matrices, and it can be solved by linear matrix inequalities. The result is proved to be valid by the example at last.