Exponentially incremental (Q, S, R)-dissipativity and incremental stability for switched time-varying nonlinear systems

Yuanhong Ren, Weiqun Wang and Yixiang Wang

International Journal of Systems Science, 2017, vol. 48, issue 15, 3201-3214

Abstract: Exponentially incremental (Q,S,R)-dissipativityand incremental stability for switched time-varying nonlinear systems are studied whose subsystems are not required to be exponentially incrementally (Q,S,R)-dissipative. The sufficient conditions for switched time-varying nonlinear systems to be exponentially incrementally (Q,S,R)-dissipative are presented by the design of state-dependent switching laws. Incremental stability for switched time-varying nonlinear systems are derived based on exponentially incremental (Q,S,R)-dissipativity. Exponentially incremental (Q,S,R)-dissipativity is shown to be preserved under feedback interconnection by the design of a composite state-dependent switching law. Two simulation examples are provided to show the effectiveness of the proposed approaches.

Date: 2017
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DOI: 10.1080/00207721.2017.1367435

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