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Robust exponential stability of uncertain discrete time impulsive switching systems with state delay
作者姓名:Guangdeng ZONG  Yuqiang WU  Baoyong ZHANG  Yangyang KONG
作者单位:[1]School of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China [2]Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China
基金项目:This work was supported by the National Natural Science Foundation of China (No. 60674027), China Postdoctoral Science Foundation (No. 200704 10336), and the Postdoctor Foundation of Jiangsu Province (No. 0602042B).
摘    要:

关 键 词:指数  稳定性  交换系统  转换控制
收稿时间:2006-03-27
修稿时间:4/3/2007 12:00:00 AM

Robust exponential stability of uncertain discrete time impulsive switching systems with state delay
Guangdeng ZONG,Yuqiang WU,Baoyong ZHANG,Yangyang KONG.Robust exponential stability of uncertain discrete time impulsive switching systems with state delay[J].Journal of Control Theory and Applications,2007,5(4):351-356.
Authors:Guangdeng ZONG  Yuqiang WU  Baoyong ZHANG  Yangyang KONG
Affiliation:1. School of Automation,Nanjing University of Science and Technology,Nanjing Jiangsu 210094,China;Institute of Automation,Qufu Normal University,Qufu Shandong 273165,China
2. Institute of Automation,Qufu Normal University,Qufu Shandong 273165,China
3. School of Automation,Nanjing University of Science and Technology,Nanjing Jiangsu 210094,China
Abstract:A new class of hybrid impulsive and switching models are introduced and their robust exponential stability and control synthesis are addressed. The proposed switched system is composed of stable subsystems and unstable subsystems, which not only involves state delay and norm-bounded time-varying parameter uncertainties, but also contains the impulsive switching effects between the subsystems. Based on the extension of the system dimension and the concept of average dwell time, a kind of practically useful switching rule is presented which guarantees the desired robust exponential stability. A switched state feedback controller is also given.
Keywords:Exponential stability  Switched systems  Switching control  State delay  Average dwell time
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