Exponential Stability and Availability Analysis of a Complex Standby System

Wang Chunli, Teng Mingyan and Zheng Fu ()
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Wang Chunli: Institute of Information Technology, University of Electronic Technology, Guilin541004, China
Teng Mingyan: Institute of Information Technology, University of Electronic Technology, Guilin541004, China
Zheng Fu: Department of Mathematics, Bohai University, Jinzhou121002, China

Journal of Systems Science and Information, 2014, vol. 2, issue 3, 279-288

Abstract: In this paper, we first investigate the solution of the two correlated units redundant system with two types of failure. By using the method of functional analysis, especially, the c0 semigroup theory of bounded linear operators on Banach space, we prove the well-posedness and the existence of positive solution of the system. By analyzing the spectra distribution of the system operator, we prove that the dynamic solution of the system asymptotically converges to the nonnegative steady-state solution which is the eigenfunction corresponding to eigenvalue 0 of the system operator. Furthermore, we discuss the exponential stability of the system. Finally, we analyze the reliability the system with the help of our main results and present some reliability indices of the system at the end of the paper.

Keywords: redundant system; c0 semigroups; well-posedness; stability; availability (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:jossai:v:2:y:2014:i:3:p:279-288:n:9

DOI: 10.1515/JSSI-2014-0279

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