Finite-time stability for continuous-time switched systems in the presence of impulse effects

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Finite-time stability for continuous-time switched systems in the presence of impulse effects

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The problem of finite-time stability for a class of continuous-time switched systems with impulse effects is studied in this article. A criterion is proposed which ensures that the system’s state trajectory remains in a bounded region of the state space over a pre-specified finite-time interval if the authors give a bound on the initial condition. Contrary to the existing results on finite-time stability of switched systems, the average dwell time approach, rather than the Lyapunov-based ones, is utilised to realise such a purpose. The difference between the finite-time stability and the Lyapunov stability is clearly shown. A numerical example is given to illustrate the proposed design method.

Inspec keywords: state-space methods; time-varying systems; continuous time systems; stability; Lyapunov methods

Other keywords: state space; finite-time stability; finite-time interval; average dwell time approach; impulse effects; system state trajectory; Lyapunov stability; continuous-time switched systems

Subjects: Stability in control theory; Control system analysis and synthesis methods; Time-varying control systems

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