Exponential Quasi-Incremental-(Q, S, R)- Dissipativity and Practically Incremental Stability for Switched Nonlinear Systems

Abstract

This paper addresses the problems of exponentially quasi-incremental-(Q,S,R)-dissipativity and practically incremental stability analysis for a switched nonlinear system. First, exponential quasi-incremental-(Q,S,R)-dissipativity for switched nonlinear systems is first defined. Each subsystem may be not exponentially quasi-incremental-(Q,S,R)-dissipative. Based on this dissipativity property, practically incremental stability is obtained for switched nonlinear systems. Second, a state-dependent switching law is designed to establish exponential quasi-incremental-(Q,S,R)-dissipativity criterion. Finally, the effectiveness of the obtained results is verified by a numerical example.