This paper proposes a switching design for the exponential stabilization problem of hybrid systems with mixed time-delays in both the state and control. By using an improved Lyapunov-Krasovskii functional, a memoryless switching controller for the exponential stabilization of the system is designed in terms of linear matrix inequalities. The approach also allows us to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. © 2009 Elsevier Ltd. All rights reserved.

Hien L.V., Phat V.N.

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Từ khóa : Exponential stability; Exponential stabilization; Lyapunov-Krasovskii functional; Mixed delays; State and control delay; Switched system; Switching controllers; Electric grounding; Hybrid computers; Hybrid systems; Linear control systems; Linear matrix inequalities; Switching systems; System stability; Time delay; Uncertain systems; Stabilization