Formula omitted]-dissipativity for switched non-linear delay systems

Abstract

In this paper, we investigate (Q,S,R)-dissipativity for a class of switched non-linear systems with time-varying delay based on a state dependent switching law. Firstly, sufficient conditions for (Q,S,R)-dissipativity are developed by using Hurwitz convex combination approach, these conditions are provided in terms of linear matrix inequalities (LMIs). Secondly, passivity as a special form of (Q,S,R)-dissipativity is preserved for the feedback interconnected switched systems with time-varying delay by the merging switching signal technique. Finally, an example is provided to illustrate the effectiveness of the main results.