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On the stability of differential systems with time lag

On the stability of differential systems with time lag Abstract In this paper the inequality of Lemma 1 of [1] is extended. By means of our inequality and the method of Lyapunov function we study the stability of two kinds of large scale differential systems with time lag and the stability of a higher-order differential equation with time lag. The sufficient conditions for the stability (S.), the asymptotic stability (A. S.), the uniformly asymptotic stability (U. A. S.) and the exponential asymptotic stability (E. A. S.) of the zero solutions of the systems are obtained respectively. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

On the stability of differential systems with time lag

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References (9)

Publisher
Springer Journals
Copyright
1993 Editorial Committee of Applied Mathematics-A Journal of Chinese Universities
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/BF02661997
Publisher site
See Article on Publisher Site

Abstract

Abstract In this paper the inequality of Lemma 1 of [1] is extended. By means of our inequality and the method of Lyapunov function we study the stability of two kinds of large scale differential systems with time lag and the stability of a higher-order differential equation with time lag. The sufficient conditions for the stability (S.), the asymptotic stability (A. S.), the uniformly asymptotic stability (U. A. S.) and the exponential asymptotic stability (E. A. S.) of the zero solutions of the systems are obtained respectively.

Journal

Applied Mathematics-A Journal of Chinese Universities – Springer Journals

Published: Dec 1, 1993

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