State convergence property of perturbed switched linear time-delay systems

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State convergence property of perturbed switched linear time-delay systems

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The issue of state convergence property for perturbed switched linear time-delay systems is explored. By introducing the variation-of-constants formula, the conditions for state convergence property of perturbed switched linear time-delay systems are established, and the difficulties caused by the interactions between the switchings and the time delay are alleviated. Based on the general result of perturbed switched linear time-delay systems, under two different switching schemes, new delay-dependent and -independent stability criteria for switched linear systems with time delay are derived. Two numerical examples along with the respective simulation results are given to demonstrate feasibility and validity of the theoretical results.

Inspec keywords: linear systems; time-varying systems; stability criteria; delays; delay systems; convergence

Other keywords: delay-independent stability criteria; perturbed switched linear time-delay systems; state convergence property; delay-dependent stability criteria

Subjects: Stability in control theory; Time-varying control systems; Distributed parameter control systems

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