Stability and L2-gain analysis for switched systems with interval time-varying delay

This study studies the problem of exponential stability and L₂-gain analysis of a class of switched systems with delay varying in an interval. By using a newly constructed Lyapunov-Krasovskii functional and the average dwell-time scheme, delay-dependent sufficient conditions are obtained which are expressed as linear matrix inequalities. These conditions provide a solution for finding a switching signal under which exponential stability and normal L₂-gain of the switched delay system are guaranteed. Two illustrative examples are given to demonstrate the effectiveness of the proposed results.