时标上切换系统在异步切换下的稳定性分析  

Stabilization Analysis of Switched Systems Under Asynchronous Switching on Time Scales

作　　者：赵亚茹 黄振坤[1] ZHAO Yaru;HUANG Zhenkun(School of Science,Jimei University,Xiamen 361021,China)

机构地区：[1]集美大学理学院

出　　处：《集美大学学报（自然科学版）》2019年第6期463-470,共8页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金项目(61573005);福建省自然科学基金项目(2018J01417)

摘　　要：研究在异步切换控制下时标上时滞切换系统的全局一致指数型稳定性问题。基于时标上的微积分理论,通过构建分段李雅普诺夫函数和利用平均驻定时间方法,使系统在时标上达到全局一致指数型稳定。给出数值模拟,验证所得结果的可行性。The problem of exponential stabilization for switched delayed systems was considered under asynchronous switching on time scales.Based on the calculus of time scales,a piecewise Lyapunov-Krasovskii functional was constructed and sufficient conditions for scale-type stability for a class of switching signals was obtained by the average dwell time method.Finally,an example was given to demonstrate the feasibility and effectiveness of the proposed theory.

关 键 词：时滞切换系统 异步切换控制 平均驻定时间 时标 

分 类 号：O193[理学—数学]