Switching design for exponential stability of a class of nonlinear hybrid time-delay systems |
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Authors: | VN Phat T Botmart P Niamsup |
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Institution: | 1. Institute of Mathematics, 18 Hoang Quoc Viet Road, Hanoi 10307, Viet Nam;2. Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand |
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Abstract: | This paper addresses the exponential stability for a class of nonlinear hybrid time-delay systems. The system to be considered is autonomous and the state delay is time-varying. Using the Lyapunov functional approach combined with the Newton–Leibniz formula, neither restriction on the derivative of time-delay function nor bound restriction on nonlinear perturbations is required to design a switching rule for the exponential stability of nonlinear switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of algebraic Riccati equations, which allows computing simultaneously the two bounds that characterize the stability rate of the solution. A simple procedure for constructing the switching rule is also presented. |
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