脉冲控制系统的渐近稳定性分析  

Asymptotic Stability Analysis of Impulsive Control Systems

作　　者：陈远强[1,2] 许弘雷[1] 

机构地区：[1]贵州大学数学系,贵阳550025 [2]贵州民族学院数学系,贵阳550025

出　　处：《应用数学学报》2010年第3期479-489,共11页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(60704003);贵州省科学技术基金([2008]2252);贵州大学人才基金(2007043);贵州民族学院科研基金(2009)资助项目

摘　　要：由于脉冲控制系统响应速度快,有较强的鲁棒性和抗干扰能力等特点,因而被广泛研究.但当前对脉冲量为线性函数时的系统稳定性研究较多,而对脉冲量为其它形式时的系统稳定性研究较少.本文对脉冲控制系统的脉冲量是非线性向量值函数,线性与非线性和的向量值函数以及可变的线性向量值函数这三种情形的系统稳定性进行研究,给出了它们稳定性的充分条件.最后,给出数值示例说明所得结果.Impulsive control systems have been studied extensively for their rapid responses, strong robustness and anti-disturbances.Stability analysis of impulsive control systems with linear impulsive increments has been investigated a lot,but stability problems with other types of impulsive increments have been seldom studied.This paper investigates asymptotic stability problems of several classes of impulsive control systems,including the cases that the impulsive increment is a nonlinear vector function,a hybrid linear and nonlinear vector function and a variable linear vector function,respectively.Sufficient conditions for their asymptotic stability are developed.Finally,numerial examples are presented to illustrate the obtained results.

关 键 词：脉冲控制 脉冲量 渐近稳定性 

分 类 号：O231.1[理学—运筹学与控制论]