带有延迟脉冲的时滞切换系统的指数稳定性  

Exponential Stability of Time-Delay Switched Systems with Delayed Impulses

作　　者：丁建[1] 冯桂珍[2] DING Jian;FENG Gui-zhen(College of Math and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China;Department of Public Basic Courses,Nanjing Vocational Institute of Industry Technology,Nanjing 210023,China.)

机构地区：[1]南京信息工程大学数学与统计学院,江苏南京210044 [2]南京工业职业技术学院基础课部,江苏南京210023

出　　处：《安徽师范大学学报（自然科学版）》2018年第5期425-429,434,共6页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学青年基金项目(61807019)

摘　　要：研究了一类带有脉冲作用的时间延迟切换系统的指数稳定性。利用平均化脉冲间隔的方法降低了系统稳定性对各个脉冲间隔长度的要求,针对脉冲和时间延迟对系统的影响提出、改进了一些用以约束系统状态变化的条件,通过构造同时适用于切换子系统和脉冲作用的统一的Lypunov函数,分析了系统连续状态和脉冲时刻状态的演化,分别证明了切换系统在有界时间延迟脉冲和任意时间延迟脉冲作用下的指数稳定性。This paper concerns the exponential stability for a class of time-delay switching systems with impulsive effects.The concept of average impulsive interval is used to reduce the system stability requirements for each impulse interval length.In view of the influence of impulse and time-delay on the system,some conditions for restraining system state change are improved.By constructing a uniform Lypunov function which is suitable for switching subsystems and impulsive functions simultaneously,the evolution of system continuous state and impulsive moment state is analyzed.The exponential stability of switching system under bounded time-delay impulse and arbitrary time-delay impulse is proved respectively.

关 键 词：切换 时间延迟 平均脉冲区间 指数稳定性 

分 类 号：O231.5[理学—运筹学与控制论]