Stability analysis of a new kind series system

doi:10.1093/imamat/hxg013

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	Stability analysis of a new kind series system
	Guo, Lina 1; Xu, Houbao 2; Gao, Chao 3; Zhu, Guangtian 4
	2010-06-01
发表期刊	IMA JOURNAL OF APPLIED MATHEMATICS
ISSN	0272-4960
卷号	75 期号:3 页码:439-460
摘要	An n-unit series repairable system with a repairman doing other work is discussed in this paper. We are devoted to studying the unique existence of the solution and the exponential stability of the system. C(0)-semigroup theory is used to prove the existence of a unique non-negative solution of the system. Then by analysing the spectra distribution of the system operator and the quasi-compactness of the system, we derive that the transient solution of the system exponentially converges to the non-negative steady-state solution, which is the eigenvector corresponding to eigenvalue 0 of the system operator. Some reliability indices of the system and the strategy of the repairman doing other work in his idle time are presented at the end of the paper.
关键词	availability C(0)-semigroup theory transient solution steady-state solution compact operator exponential stability
DOI	10.1093/imamat/hxg013
语种	英语
资助项目	Beijing Institute of Technology[2007Y0716] ; National Natural Science Foundation of China[10826045]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000279536700008
出版者	OXFORD UNIV 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/10479
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, Lina
作者单位	1.Beijing Inst Informat & Control, Dept Syst Engn, Beijing 100037, Peoples R China 2.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 3.Yanbian Univ, Dept Math, Yanji 133002, 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	Guo, Lina,Xu, Houbao,Gao, Chao,et al. Stability analysis of a new kind series system[J]. IMA JOURNAL OF APPLIED MATHEMATICS,2010,75(3):439-460.
APA	Guo, Lina,Xu, Houbao,Gao, Chao,&Zhu, Guangtian.(2010).Stability analysis of a new kind series system.IMA JOURNAL OF APPLIED MATHEMATICS,75(3),439-460.
MLA	Guo, Lina,et al."Stability analysis of a new kind series system".IMA JOURNAL OF APPLIED MATHEMATICS 75.3(2010):439-460.