Well-posedness and stability of the repairable system with N failure modes and one standby unit
文献类型：期刊论文
| 作者 | Zheng, Fu1,2; Zhu, Guangtian3; Gao, Chao4 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2011-03-01 |
| 卷号 | 375期号:1页码:174-184 |
| 关键词 | Repairable system c(0) Semigroups Well-posedness Asymptotic stability Strictly dominant eigenvalue Exponential stability |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2010.08.063 |
| 英文摘要 | The well-posedness and stability of the repairable system with N failure modes and one standby unit were discussed by applying the c(0) semigroups theory of function analysis. Firstly, the integro-differential equations described the system were transformed into some abstract Cauchy problem of Banach space. Secondly, the system operator generates positive contractive c(0) semigroups T (t) and so the well-posedness of the system was obtained. Finally, the spectral distribution of the system operator was analyzed. It was proven that 0 is strictly dominant eigenvalue of the system operator and the dynamic solution of the system converges to the steady-state solution. The steady-state solution was shown to be the eigenvector of the system operator corresponding to the eigenvalue 0. At the same time the dynamic solution exponentially converges to the steady-state solution. (C) 2010 Elsevier Inc. All rights reserved. |
| 资助项目 | Bohai University ; Daqing Normal University[08ZQ06] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000284293600015 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11611]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zheng, Fu |
| 作者单位 | 1.Bohai Univ, Dept Math, Jinzhou 121013, Liaoning, Peoples R China 2.Beijing Inst Informat & Control, Dept Syst Engn, Beijing 100037, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Yanbian Univ, Dept Math, Yanji 133002, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zheng, Fu,Zhu, Guangtian,Gao, Chao. Well-posedness and stability of the repairable system with N failure modes and one standby unit[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2011,375(1):174-184. |
| APA | Zheng, Fu,Zhu, Guangtian,&Gao, Chao.(2011).Well-posedness and stability of the repairable system with N failure modes and one standby unit.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,375(1),174-184. |
| MLA | Zheng, Fu,et al."Well-posedness and stability of the repairable system with N failure modes and one standby unit".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 375.1(2011):174-184. |
入库方式： OAI收割
来源：数学与系统科学研究院
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