Exponential stability criteria of linear non-autonomous systems with multiple delays

Authors: Vũ Ngọc Phát, Phan Thanh Nam,

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Publisher, magazine: ,

Publication year: 2005

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Abstract

In this paper , we study the exponential stability of non linear non-autonomous systems with multiple delays. Using Lyapunov- like function, we find sufficient conditions for the exponential stability in terms of the solution of a Riccati differential equation. Our results are illustrated with numerical examples.

Tags: Exponential stability ; time - delay ; Lyapunov function ; Riccati equation