Input-to-state stability for parameterized discrete-time time-varying nonlinear systems with applications

Dina Shona Laila, A. Astolfi

    Research output: Contribution to conferencePaper


    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 property that naturally arises when an approximate discrete-time model is used to design a controller for a sampled-data system. Application of our main result to time-varying periodic systems is presented. This is then used to design a semiglobal practical ISS (SP-ISS) control law for the model of a wheeled mobile robot.
    Original languageEnglish
    Publication statusPublished - 9 May 2005
    EventAsian Control Conference - Melbourne, Australia
    Duration: 20 Jul 200423 Jul 2004


    ConferenceAsian Control Conference

    Bibliographical note

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    • Time varying systems
    • Nonlinear systems
    • Control systems
    • Nonlinear control systems
    • Mobile robots
    • Control nonlinearities
    • Robust stability
    • Educational institutions
    • Linear systems
    • Portfolios
    • periodic control
    • stability
    • discrete time systems
    • time-varying systems
    • nonlinear control systems
    • Lyapunov methods
    • sampled data systems
    • wheeled mobile robot
    • input-to-state stability
    • parameterized discrete-time system
    • time-varying nonlinear system
    • converse Lyapunov theorem
    • sampled-data system
    • time-varying periodic system


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