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The Well-Posedness and Stability Analysis of a Computer Series System
Joint Authors
Zhu, Guangtian
Qiao, Xing
Ma, Dan
Zheng, Fu
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A repairable computer system model which consists of hardware and software in series is established in this paper.
This study is devoted to discussing the unique existence of the solution and the stability of the studied system.
In view of c0 semigroup theory, we prove the existence of a unique nonnegative solution of the system.
Then by analyzing the spectra distribution of the system operator, we deduce that the transient solution of the system strongly converges to the nonnegative steady-state solution which is the eigenvector corresponding to eigenvalue 0 of the system operator.
Finally, some reliability indices of the system are provided at the end of the paper with a new method.
American Psychological Association (APA)
Qiao, Xing& Ma, Dan& Zheng, Fu& Zhu, Guangtian. 2013. The Well-Posedness and Stability Analysis of a Computer Series System. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-448156
Modern Language Association (MLA)
Qiao, Xing…[et al.]. The Well-Posedness and Stability Analysis of a Computer Series System. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-448156
American Medical Association (AMA)
Qiao, Xing& Ma, Dan& Zheng, Fu& Zhu, Guangtian. The Well-Posedness and Stability Analysis of a Computer Series System. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-448156
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448156