脉冲控制系统理论进展综述  

REVIEW ON THE THEORY OF IMPULSIVE CONTROL SYSTEMS

作　　者：李晓迪 吕晓晓 曹进德 Li Xiaodi1 , LO Xiaoxiao 1, Cao Jinde2(1. School of Mathematics and Statistics, Shandong Normal University, 250358, Jinan, China; 2. School of Mathematics, Southeast University, 210096, Nanjing, China)

机构地区：[1]山东师范大学数学与统计学院,济南250358 [2]东南大学数学学院,南京210096

出　　处：《山东师范大学学报（自然科学版）》2018年第1期1-11,共11页Journal of Shandong Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(61673247);山东省杰出青年基金资助项目(JQ201719);山东省优秀青年基金资助项目(ZR2016JL024)

摘　　要：近些年来,国内外的学者对脉冲控制系统进行了大量研究.本文通过梳理已有相关文献,从脉冲控制系统的基本理论,脉冲控制系统的稳定性、耗散性、混沌同步,以及脉冲时滞系统的稳定性与控制等方面做一个全面、直观的综述,并在此基础上进行研究展望,为今后脉冲控制系统理论的深入研究提供参考.Impulsive control systems have been used for modelling natural phenomena in many areas for many years. Such systems arise naturally from a number of applications and the corresponding theory is quite important.This paper mainly gives a systematic review on the basic theory of impulsive control systems, the stability,dissipativity, synchronization control, and delayed impulsive control systems. The paper is expected to provide a reference for the further possible research of the theory of impulsive control systems.

关 键 词：脉冲控制系统 稳定性 控制 时滞 

分 类 号：O175.21[理学—数学]