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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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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

References

  • The stability of zero solution of the large scale systems with time lag
    Zhang Yi
  • Liao Xiaoxin, Mathematical Theory and Application of Stability, The Central China Normal University Press (in Chinses), 1988.
    Liao Xiaoxin, Mathematical Theory and Application of Stability, The Central China Normal University Press
  • The stability of Zero solution of a class of nonlinear nonautonomous system
    Wang Muqiu, Wang Lian
  • Simple criteria for stability of interval matrices
    Xu Daoyi
  • A necessary and sufficient condition for the positive-definiteness of interval symmetric matrices
    Zhi-Cheng Shi, Wei-Bin Gao
  • Satbility of interval matrices
    Liao Xiaoxin
  • The Stability of two kinds of nonlinear nonautonomous large scale systems
    Zhong Yilin
  • New-criteria for stability of several time-varying systems
    Zhong Yilin
  • Application of computation of matrices and vectors to decomposition for stability of large scale system
    Tang Xianying, Liu Huicheng