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2009年01月06日

【期刊论文】Eventual practical stability of impulsive differential equations with time delay in terms of two measurements☆

孙继涛, Yu Zhang, Jitao Sun*

Journal of Computational and Applied Mathematics 176(2005)223-229,-0001,():

-1年11月30日

摘要

In this paper we introduce a new stability-eventual practical stability for impulsive differential equations with time delay. By using Lyapunov functions and comparison principle, we will get some criteria of eventual practical stability, eventual practical quasistability and strong eventual practical stability for impulsive differential equations with time delay in terms of two measurements.

Impulsive differential equation, Time delay, Eventual practical stability, Lyapunov function

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2009年01月06日

【期刊论文】三种群Lotka-Volterra非周期食饵-捕食系统的持久性*

孙继涛, 张银萍

应用数学和力学,2000,21(8):792-796,-0001,():

-1年11月30日

摘要

研究了三种群非周期食饵一捕食系统的持久性,得到了系统持久的判据.

持久性, 食饵一捕食系统, 非周期

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2009年01月06日

【期刊论文】区间离散Lurie系统的绝对稳定性

孙继涛, 张银萍

控制理论与应用,2002,19(4):588~590, 594,-0001,():

-1年11月30日

摘要

用Lyapunov函数研究了具有单调扇形限制的多非线性项的区间离散Earle系统的鲁棒绝对稳定性,给出了此类区间离散Earle系统的鲁棒绝对稳定性的矩阵不等式形式的代数判据,并与区间对称矩阵稳定性建立了联系.

区间离散IA., 1rie系统, 鲁棒绝对稳定, 区间矩阵, Lyapunov函数

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2009年01月06日

【期刊论文】Stability criteria of impulsive differential systems☆

孙继涛, Jitao Sun

Applied Mathematics and Computation 156(2004)85-91,-0001,():

-1年11月30日

摘要

This paper discusses the uniform eventual Lipschitz stability and uniform eventual asymptotic stability of impulsive differential system. Some criteria of such stability for impulsive differential system are given. Compared with the existing result, the condition is less conservative. Our technique depends on Lyapunov's direct method and comparison principle.

Uniform eventual stability, Uniform eventual Lipschitz stability, Uniform eventual asymptotic stability, Impulsive differential system

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2009年01月06日

【期刊论文】Practical Stability of Impulsive Functional Differential Equations in Terms of Two Measurements

孙继涛, YU ZHANG AND JITAO SUN*

Computers and Mathematics with Applications 48(2004)1549-1556,-0001,():

-1年11月30日

摘要

In this paper, we consider practical stability of impulsive functional differential equations in terms of two measurements. Some sufficient conditions of uniform practical stability for functional differential equation with impulses are obtained by using piecewise continuous Lyapunov functions and Razumikhin techniques. An example illustrates the effectiveness of the proposed result.

Practical stability, Impulsive functional differential equation, Lyapunov function, Razumikhin technique.,

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  • 孙继涛 邀请

    同济大学,上海

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