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New stability criterion for linear switched systems with time-varying delay. (English) Zbl 1279.93096

Summary: 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 new 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.

MSC:

93D99 Stability of control systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
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