多平衡点切换系统可脉冲控制研究  

Research on impulsive control of multiple-equilibrium switched systems

作　　者：刘后浩 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》2017年第2期45-51,共7页Journal of Zhongkai University of Agriculture and Engineering

摘　　要：考察了较为一般形式的多平衡点切换系统的可脉冲控制问题.在系统解存在唯一且所有子系统只含一个公共平衡点的前提下,运用系统的区域稳定性可以等价于系统解的最终有界性方法,得到了可脉冲控制区域稳定和区域吸引的结论,同时还得到脉冲控制的具体算法.最后给出了具体例子进行说明.The impulsive controlling problem of multiple-equilibrium switched systems was investigated. Under the premise that the system had an unique solution and all subsystems contain only one common equilibrium point, the regional stability of the system could be equivalent to the final boundedness method of the system solution, and the impulsive controllable regional stability and impulsive controllable regional attraction was concluded, and the specific algorithm of pulse control was designed. Lastly, a specific example was provided.

关 键 词：多平衡点切换系统 可脉冲控制 区域稳定 区域吸引 

分 类 号：O175[理学—数学]