Exponential stability of switched systems with interval time-varying delay

By using the average dwell time approach, we identify a class of switching signals to guarantee exponential stability and L ₂ gain of the switched linear system with interval time-varying delay excluding zero. By taking both the lower bound and upper bound of delay into consideration in the chosen Lyapunov function, several new stability criteria are presented in terms of linear matrix inequalities. Compared with some results in the literature, it is theoretically established that our results are less restrictive.