Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form

Dina Shona Laila, A. Astolfi

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

Input-to-state stability (ISS) of a parameterized family of discrete-time time-varying nonlinear systems is investigated. A converse Lyapunov theorem for such systems is developed. We consider parameterized families of discrete-time systems and concentrate on a semiglobal practical type of stability that naturally arises when an approximate discrete-time model is used to design a controller for a sampled-data system. An application of our main result to time-varying periodic systems is presented, and this is used to solve a robust stabilization problem, namely to design a control law for systems in power form yielding semiglobal practical ISS (SP-ISS).
Original languageEnglish
Pages (from-to)1891-1903
JournalAutomatica
Volume41
Issue number11
DOIs
Publication statusPublished - 24 Aug 2005

Bibliographical note

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Keywords

  • Converse Lyapunov theorem
  • Discrete-time system
  • Input-to-state stability
  • Nonholonomic systems
  • Nonlinear systems
  • Power forms
  • Time-varying system

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