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Stability analysis of a new kind series system

文献类型：期刊论文

作者Guo, Lina1; Xu, Houbao2; Gao, Chao3; Zhu, Guangtian4
刊名IMA JOURNAL OF APPLIED MATHEMATICS
出版日期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
DOI10.1093/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
WOS记录号WOS:000279536700008
出版者OXFORD UNIV PRESS
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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