依赖状态的脉冲微分系统关于部分变元的强稳定性  

Strong Stability in Terms of Part Variables for Impulsive Differential Systems with Variable Impulsive Perturbations

作　　者：李宝麟[1] 吴卫红[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《佳木斯大学学报（自然科学版）》2008年第4期437-440,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10771171);甘肃省‘555创新人才工程’资助项目;西北师大科技创新工程资助项目

摘　　要：借助于常微分方程关于部分变元稳定性的研究方法和脉冲微分系统理论,利用逐段连续的Ljapunov函数研究依赖于状态的脉冲微分系统关于部分变元的强稳定性,建立了关于该类稳定性问题的一些判定定理,最后阐述了这些定理的应用.In this paper, strong stability in terms of part variables for impulsive differential systems with variable impulsive perturbatiom is discussed. The methods of the stability analysis respect to part of the variables for ordinary differential equatiom and theory of impulsive differential systems are used to study such systems. By means of piecewise continuous Ljapunov functiom, some theorems are established about the question on the stability. Finally as an application, the investigation of strong stability in terms of the variable for impulsive differential systems with variable impulsive perturbations is given.

关 键 词：脉冲 微分系统 部分变元 强稳定性 

分 类 号：O175.12[理学—数学]