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.