Parameter-dependent switching law for linear switched systems with time-varying delay

This paper studies the stability problem of a class of linear switched systems with time-varying delay in the sense of Hurwitz convex combination. By designing a parameter-dependent switching law and using a reciprocally convex combination technique to deal with delay terms, a new stability criterion is established in terms of linear matrix inequalities (LMIs), which is dependent on the parameters of Hurwitz convex combination. The advantage of the new criterion lies in its less conservatism and simplicity. Numerical examples are given to illustrate the effectiveness and the less conservatism of the proposed method.