时变脉冲切换系统的实用稳定性研究  

The practical stability of time-dependent impulsive switched systems

作　　者：李少娥 冯伟贞[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《仲恺农业工程学院学报》2014年第2期36-44,共9页Journal of Zhongkai University of Agriculture and Engineering

摘　　要：研究了时变脉冲切换系统实用稳定性的定义.在此基础上,利用推广的Cauchy矩阵给出了线性时变脉冲切换系统及对应拟线性系统实用稳定、一致实用稳定的充分条件,并举例分析了切换模式、脉冲模式对系统实用稳定性的影响.The definitions of practical stability of time-dependent impulsive switched systems was clari-fied.With the extended Cauchy matrix , some sufficient conditions were provided concerning practical stability and uniform practical stability of the linear time-dependent impulsive switched systems and the corresponding quasi-linear systems.Finally, the influence of the switch and the impulse on practical sta-bility was analyzed with illustrative examples .

关 键 词：线性时变脉冲切换系统 拟线性时变脉冲切换系统 实用稳定 一致实用稳定 CAUCHY矩阵 

分 类 号：O175[理学—数学]