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STABILITY OF DELAY DIFFERENTIAL SYSTEMS BY SEVERAL LIAPUNOV FUNCTIONS

STABILITY OF DELAY DIFFERENTIAL SYSTEMS BY SEVERAL LIAPUNOV FUNCTIONS
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摘要 In this paper, we develop a new technique to study the stability of differential systems with finite delay, where the components of the state variable can be divided into m groups (1 ≤ m ≤ l), correspondingly, m functionals Vj(j = 1, 2,'''m ) are adopted, each W involves one of the m groups. In this way, to construct the suitable functionals for a given system is much easier, and the obtained conditions are less restrictive In this paper, we develop a new technique to study the stability of differential systems with finite delay, where the components of the state variable can be divided into m groups (1 ≤ m ≤ l), correspondingly, m functionals Vj(j = 1, 2,'''m ) are adopted, each W involves one of the m groups. In this way, to construct the suitable functionals for a given system is much easier, and the obtained conditions are less restrictive
出处 《Annals of Differential Equations》 2001年第1期86-92,共7页 微分方程年刊(英文版)
基金 the National Natural Science Foundations of China No.19831030.
关键词 differential systems with finite delay uniform stability asymptotic stability uniformly asymptotic stability differential systems with finite delay, uniform stability, asymptotic stability, uniformly asymptotic stability
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