Exponential stabilisation of impulsive switched linear systems via a periodic switching scheme

doi:10.1049/iet-cta.2017.0483

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	Exponential stabilisation of impulsive switched linear systems via a periodic switching scheme
	Ai, Zidong 1,2; Peng, Lianghong 3
	2017-11-03
发表期刊	IET CONTROL THEORY AND APPLICATIONS
ISSN	1751-8644
卷号	11 期号:16 页码:2921-2926
摘要	In this study, the authors investigate the stabilisation issue for a class of multi-module impulsive switched linear systems in terms of a periodic impulsive switching scheme. First, they establish a necessary and sufficient criteria on periodically exponentially (PE) stabilising the involved system. Then, they derive some effective asymptotic stabilisation and input-to-state stabilisation results using the method of construction. To improve the system performance, they solve an optimisation problem that determines the minimal period of stabilisable impulsive switching signals. Finally, a numerical example with two unstable subsystems is provided to illustrate the validity of the method.
关键词	asymptotic stability linear systems switching systems (control) optimisation periodic switching scheme exponential stabilisation multimodule impulsive switched linear systems asymptotic stabilisation input-to-state stabilisation optimisation problem
DOI	10.1049/iet-cta.2017.0483
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering ; Instruments & Instrumentation
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation
WOS记录号	WOS:000412730500029
出版者	INST ENGINEERING TECHNOLOGY-IET
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26721
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	1.Qingdao Univ Sci & Technol, Coll Automat & Elect Engn, Qingdao 266042, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Ai, Zidong,Peng, Lianghong. Exponential stabilisation of impulsive switched linear systems via a periodic switching scheme[J]. IET CONTROL THEORY AND APPLICATIONS,2017,11(16):2921-2926.
APA	Ai, Zidong,&Peng, Lianghong.(2017).Exponential stabilisation of impulsive switched linear systems via a periodic switching scheme.IET CONTROL THEORY AND APPLICATIONS,11(16),2921-2926.
MLA	Ai, Zidong,et al."Exponential stabilisation of impulsive switched linear systems via a periodic switching scheme".IET CONTROL THEORY AND APPLICATIONS 11.16(2017):2921-2926.