Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632953 | Applied Mathematics and Computation | 2009 | 9 Pages |
Abstract
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.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
L.V. Hien, Q.P. Ha, V.N. Phat,