Quasi-integral-input-to-state stability for switched nonlinear systems

A. Russo, S. Liu, D. Liberzon, A. Cavallo

Research output: Contribution to journalConference articlepeer-review


In this paper we introduce and give sufficient conditions for the quasi-iISS property for switched nonlinear systems under dwell-time switching signals. Unlike previous works, our dwell-time bound does not rely on the knowledge of the state but it relies only on the system initial condition and the bound on the input energy. We prove, through a counterexample, that knowledge of the system initial state and bound on input energy is necessary for the estimation of a dwell-time that guarantees quasi-iISS for the switched system. An illustrative example is also included.

Original languageEnglish (US)
Pages (from-to)1992-1997
Number of pages6
StatePublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: Jul 12 2020Jul 17 2020


  • Input-to-state stability
  • Lyapunov methods
  • Stability of hybrid systems
  • Stability of nonlinear systems
  • Switching stability and control

ASJC Scopus subject areas

  • Control and Systems Engineering


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