Delay-dependent Exponential Stability of Switched Systems with the Interval Time-varying Delay

Abstract

The exponential stability problem is addressed in this paper for a class of switched systems with interval time-varying delay where the delay parameters are variable in a time interval. Based on linear matrix inequalities (LMIs), delay-dependent exponential stability is guaranteed for such systems under the switching signals with average dwell time. The estimate of state decay rate is given by solving the corresponding matrices. The exponential stability criteria are obtained whether the upper bound of the derivation of the delay is restricted or not. The results obtained are less conservative than those in the current literatures. Two examples are given to show the effectiveness of the proposed method.