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基于时间依赖切换信号的切换系统稳定性分析研究进展
引用本文:史爽,费中阳,赵旭东.基于时间依赖切换信号的切换系统稳定性分析研究进展[J].信息与控制,2021(1):34-42.
作者姓名:史爽  费中阳  赵旭东
作者单位:南京航空航天大学自动化学院;大连理工大学工业装备智能控制与优化教育部重点实验室;大连理工大学控制科学与工程学院
基金项目:国家自然科学基金资助项目(61873310,61790564)。
摘    要:稳定性分析是研究切换系统时的基本问题.本文基于时间依赖的切换信号,回顾了切换系统的稳定性分析问题的研究进展及最新成果.首先,系统地介绍了常见的时间依赖的切换信号.在此基础上,分别介绍了连续和离散切换系统的稳定性分析的成果,并讨论了各方法的优缺点.最后,对切换系统的发展进行了展望.

关 键 词:切换系统  稳定性分析  时间依赖切换  多李亚普诺夫函数

Advances on Stability Analysis for Switched Systems with Time-dependent Switching Signals
SHI Shuang,FEI Zhongyang,ZHAO Xudong.Advances on Stability Analysis for Switched Systems with Time-dependent Switching Signals[J].Information and Control,2021(1):34-42.
Authors:SHI Shuang  FEI Zhongyang  ZHAO Xudong
Affiliation:(College of Automation Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 211100,China;Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education,Dalian University of Technology,Dalian 116024,China;School of Control Science and Engineering,Dalian University of Technology,Dalian 116024,China)
Abstract:Stability analysis is the basic problem when investigating switched systems.In this paper,we review the recent advances and the newest achievementsin stability analysis for switched systems with time-dependent switching.Firstly,we introduce the common time-dependent switching signals systematically.On this basis,we review the results on stability analysis for continuous and discrete-time switched systems,respectively,and compare and analyze the advantages and disadvantages of various methods.Finally,we present prospects of the further development.
Keywords:switched system  stability analysis  time-dependent switching  multiple Lyapunov function
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