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

doi:10.1049/iet-cta.2017.0483

	Exponential stabilisation of impulsive switched linear systems via a periodic switching scheme
	Ai, Zidong 1,2; Peng, Lianghong 3
刊名	IET CONTROL THEORY AND APPLICATIONS
	2017-11-03
卷号	11 期号:16 页码:2921-2926
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
ISSN号	1751-8644
DOI	10.1049/iet-cta.2017.0483
英文摘要	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.
WOS研究方向	Automation & Control Systems ; Engineering ; Instruments & Instrumentation
语种	英语
出版者	INST ENGINEERING TECHNOLOGY-IET
WOS记录号	WOS:000412730500029
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26720]
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.