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An application of Razumikhin theorem to exponential stability for linear non-autonomous systems with time-varying delay

In this work, in the light of the Razumikhin stability theorem combined with the Newton-Leibniz formula, a new delay-dependent exponential stability condition is first derived for linear non-autonomous time delay systems without using model transformation and bounding techniques on the derivative of the time-varying delay function. The condition is presented in terms of the solution of Riccati differential equations. © 2009 Elsevier Ltd. All rights reserved.

 Phat V.N., Hien L.V.
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  Từ khóa : Bounding techniques; Delay-dependent; Exponential stability; Linear time-varying system; Model transformation; Non-autonomous system; Nonautonomous; Razumikhin theorem; Riccati differential equation; Stability theorems; Time-delay systems; Time-varying delay; Riccati equations; Three term control systems; Time varying control systems; System stability