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孙继涛, YU ZHANG AND JITAO SUN*
Computers and Mathematics with Applications 48(2004)1549-1556,-0001,():
-1年11月30日
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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【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
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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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
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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【期刊论文】Letter to the Editor Impulsive control of a nuclear spin generator
孙继涛, Jitao Sun*, Yinping Zhang
Journal of Computational and Applied Mathematics 157(2003)235-242,-0001,():
-1年11月30日
In this paper, several new theorems on the stability of impulsive control systems are presented.These theorems are then used to and the conditions under which the nuclear spin generator can be asymptotically controlled to the equilibrium point by using impulsive control.Given the parameters of the nuclear spin generator and the impulsive control law, we also present a theory of impulsive synchronization of two nuclear spin generators. Moreover, a larger upper bound of impulsive intervals for the stabilization and synchronization can be obtained.
Impulsive stabilization, Nuclear spin generator, Impulsive synchronization
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【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
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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