This paper considers the problem of exponential stability and stabilization of switched linear time-delay systems. The system parameter uncertainties are time-varying and unknown but norm-bounded. The delay in the system states is also time-varying. By using an improved Lyapunov-Krasovskii functional, a switching rule for the exponential stability and stabilization is designed in terms of the solution of Riccati-type equations. The approach allows for computation of the bounds that characterize the exponential stability rate of the solution. Numerical examples are given to illustrate the results. © 2009 Elsevier Inc. All rights reserved.

Hien L.V., Ha Q.P., Phat V.N.

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Từ khóa : Delay control systems; Linear control systems; Riccati equations; Switching systems; System stability; Time delay; Time varying systems; Exponential stability; Linear dynamic systems; Linear time-delay systems; Lyapunov - Krasovskii functional; Numerical examples; Parameter uncertainties; Riccati-type equations; Switching rules; System state; Time-delay system; Time-varying; Uncertainty; Stabilization