An application of Razumikhin theorem to exponential stability for linear non-autonomous systems with arbitrary time-varying delays
https://doi.org/10.1016/j.aml.2009.01.053Publisher, magazine: ,
Publication year: 2009
Lưu Trích dẫn Chia sẻAbstract
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.
Tags: Linear time-varying system, Exponential stability, Time-varying delay, Razumikhin theorem, Riccati equation
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