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

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  • Yuanhong Ren
  • Weiqun Wang
  • Yixiang Wang

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.

Suggested Citation

  • Yuanhong Ren & Weiqun Wang & Yixiang Wang, 2017. "Exponentially incremental (Q, S, R)-dissipativity and incremental stability for switched time-varying nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(15), pages 3201-3214, November.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3201-3214
    DOI: 10.1080/00207721.2017.1367435
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