Asymptotic stability of solution for a parallel maintenance system with two components

Wei Hua Guo; Hou Bao Xu; Guang Tian Zhu

Asymptotic stability of solution for a parallel maintenance system with two components

Wei Hua Guo^*
, Hou Bao Xu
, Guang Tian Zhu

^*Corresponding author for this work

School of Mathematics and Statistics

Zhengzhou University of Light Industry
CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Asymptotic behavior of a parallel maintenance system with two components is studied. With the positive C₀ semigroup generated by the system operator, we show that the unique and nonnegative solution of system is the eigenvector of system operator corresponding to eigenvalue 0. By spectral analysis of the system, we find that 0 is the unique spectral point of system on the imaginary axis. As a result, the asymptotic stability of such maintenance system is obtained.

Original language	English
Pages (from-to)	62-68
Number of pages	7
Journal	Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice
Volume	26
Issue number	12
Publication status	Published - Dec 2006

Keywords

Asymptotic stability
Maintenance system
Sperctrum

Cite this

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title = "Asymptotic stability of solution for a parallel maintenance system with two components",

abstract = "Asymptotic behavior of a parallel maintenance system with two components is studied. With the positive C0 semigroup generated by the system operator, we show that the unique and nonnegative solution of system is the eigenvector of system operator corresponding to eigenvalue 0. By spectral analysis of the system, we find that 0 is the unique spectral point of system on the imaginary axis. As a result, the asymptotic stability of such maintenance system is obtained.",

keywords = "Asymptotic stability, Maintenance system, Sperctrum",

author = "Guo, \{Wei Hua\} and Xu, \{Hou Bao\} and Zhu, \{Guang Tian\}",

year = "2006",

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journal = "Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice",

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TY - JOUR

T1 - Asymptotic stability of solution for a parallel maintenance system with two components

AU - Guo, Wei Hua

AU - Xu, Hou Bao

AU - Zhu, Guang Tian

PY - 2006/12

Y1 - 2006/12

N2 - Asymptotic behavior of a parallel maintenance system with two components is studied. With the positive C0 semigroup generated by the system operator, we show that the unique and nonnegative solution of system is the eigenvector of system operator corresponding to eigenvalue 0. By spectral analysis of the system, we find that 0 is the unique spectral point of system on the imaginary axis. As a result, the asymptotic stability of such maintenance system is obtained.

AB - Asymptotic behavior of a parallel maintenance system with two components is studied. With the positive C0 semigroup generated by the system operator, we show that the unique and nonnegative solution of system is the eigenvector of system operator corresponding to eigenvalue 0. By spectral analysis of the system, we find that 0 is the unique spectral point of system on the imaginary axis. As a result, the asymptotic stability of such maintenance system is obtained.

KW - Asymptotic stability

KW - Maintenance system

KW - Sperctrum

UR - https://www.scopus.com/pages/publications/33846934753

M3 - Article

AN - SCOPUS:33846934753

SN - 1000-6788

VL - 26

SP - 62

EP - 68

JO - Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice

JF - Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice

IS - 12

ER -

Asymptotic stability of solution for a parallel maintenance system with two components

Abstract

Keywords

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