Stability analysis of a new kind series system

doi:10.1093/imamat/hxg013

	Stability analysis of a new kind series system
	Guo, Lina 1; Xu, Houbao 2; Gao, Chao 3; Zhu, Guangtian 4
刊名	IMA JOURNAL OF APPLIED MATHEMATICS
	2010-06-01
卷号	75 期号:3 页码:439-460
关键词	availability C(0)-semigroup theory transient solution steady-state solution compact operator exponential stability
ISSN号	0272-4960
DOI	10.1093/imamat/hxg013
英文摘要	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.
资助项目	Beijing Institute of Technology[2007Y0716] ; National Natural Science Foundation of China[10826045]
WOS研究方向	Mathematics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000279536700008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/10478]
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.