Exponential stability of a repairable system with imperfect switching mechanism

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	Exponential stability of a repairable system with imperfect switching mechanism
	Hu, Weiwei ; Shen, Zifei ; Xin, Yuhong ; Zhu, Guangtian
	2007
发表期刊	ASYMPTOTIC ANALYSIS
ISSN	0921-7134
卷号	54 期号:1-2 页码:93-102
摘要	This paper is devoted to investigating the exponential stability of a kind of repairable system with cold standby units, imperfect switching mechanism and multiple non-critical and critical errors. We have known that the system operator generates a positive C-0-semigroup of contractions and will show its quasi-compactness and irreducibility. Further, 0 is a simple eigenvalue of the system operator. As a result, we obtain that the time-dependent solution of the system converges to the steady-state solution exponentially, which is the positive eigenfunction corresponding to the simple eigenvalue 0.
关键词	C-0-semigroup quasi-compact essential growth bound exponential stability
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000249884200004
出版者	IOS PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5201
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, Weiwei
作者单位	1.Beijing Inst Informat & Control, Beijing 100037, Peoples R China 2.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China 3.Wuyi Univ, Sch Management, Jiangmen 529020, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, Weiwei,Shen, Zifei,Xin, Yuhong,et al. Exponential stability of a repairable system with imperfect switching mechanism[J]. ASYMPTOTIC ANALYSIS,2007,54(1-2):93-102.
APA	Hu, Weiwei,Shen, Zifei,Xin, Yuhong,&Zhu, Guangtian.(2007).Exponential stability of a repairable system with imperfect switching mechanism.ASYMPTOTIC ANALYSIS,54(1-2),93-102.
MLA	Hu, Weiwei,et al."Exponential stability of a repairable system with imperfect switching mechanism".ASYMPTOTIC ANALYSIS 54.1-2(2007):93-102.