Delay-range-dependent exponential stability for switched time-varying delay systems

In this paper, delay-range-dependent exponential stability for a class of switched time-varying delay systems has been studied. A descriptor representation is given and Lyapunov-Krasovskii technique is used to analyze the switched control systems with time-varying delay in a range. A delay-range-dependent criterion is presented, which guarantee the exponential stability of switched time delay systems. The delay-range-dependent exponential stability is given in terms of linear matrix inequalities (LMIs) solution under a certain switching signal to be designed.