Asymptotic stability analysis and design of nonlinear impulsive control systems

doi:10.1016/j.nahs.2016.10.003

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	Asymptotic stability analysis and design of nonlinear impulsive control systems
	Ai, Zidong; Chen, Cancan
	2017-05-01
发表期刊	NONLINEAR ANALYSIS-HYBRID SYSTEMS
ISSN	1751-570X
卷号	24 页码:244-252
摘要	In this work, the stability analysis and design problems are studied for a class of nonlinear impulsive control systems. Via the multi-comparison system, we establish a new comparison lemma that ensures asymptotic stability of impulsive differential systems. Based on that, we introduce vector Lyapunov functions to derive some efficient conditions and apply the results into the control design of a chaotic system. It is worth pointing out that the component Lyapunov functions need not be strictly positive definite. Necessary comparison shows that we obtain a larger stable region. Finally, some simulation results are presented to verify the derived conclusions. (C) 2016 Elsevier Ltd. All rights reserved.
关键词	Impulsive control Asymptotic stability Multi-comparison system Vector Lyapunov functions
DOI	10.1016/j.nahs.2016.10.003
语种	英语
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000399514300017
出版者	ELSEVIER SCI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25294
专题	中国科学院数学与系统科学研究院
通讯作者	Ai, Zidong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ai, Zidong,Chen, Cancan. Asymptotic stability analysis and design of nonlinear impulsive control systems[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS,2017,24:244-252.
APA	Ai, Zidong,&Chen, Cancan.(2017).Asymptotic stability analysis and design of nonlinear impulsive control systems.NONLINEAR ANALYSIS-HYBRID SYSTEMS,24,244-252.
MLA	Ai, Zidong,et al."Asymptotic stability analysis and design of nonlinear impulsive control systems".NONLINEAR ANALYSIS-HYBRID SYSTEMS 24(2017):244-252.