Delay-range-dependent robust stability for uncertain switched systems with time-varying delay

The delay-range-dependent exponential stability for switched systems with time-varying delay and robust exponential stability for uncertain switched systems with time-varying delay are studied. The lower bound of the time-varying delay can not be zero. The sufficient conditions of delay-range-dependent exponential stability for switched systems are presented by using average dwell time method and free weighting matrix method. The designed methods of the switching law are also given. The sufficient conditions are given in the form of linear matrix inequalities which can be solved easily. The result is proved to be valid by the simulation at last.