Stability analysis for switched systems with time-varying delay and parametric uncertainties

This paper addresses the stability problem for switched systems with time-varying delay and parametric uncertainties. The main idea is to construct new piecewise time-varying Lyapunov functionals/functions such that they are decreasing at switching time instants in spite of their discontinuity at those switching time instants. Then the constructed piecewise time-varying Lyapunov functionals/functions are used to derive sufficient conditions for the existence of delay-independent minimum dwell time, which guarantee the exponential stability of switched delay systems for any bounded delays. The theoretical findings are validated by an illustrative example.