Reliability Analysis of a Two-Unit System with Connecting and Disconnecting Effect

Article Preview

Abstract:

A Two-Unit system with connecting and disconnecting effect is studied in this paper. By the method of Functional analysis strong continuous semi-group, the paper analyzes the restriction of essential spectral growth bound of the system operator. The restriction of essential spectral growth bound of the system operator and the change of the essential spectral radius after perturbation is analyzed. The essential spectral radius of the system operator is also discussed before and after perturbation. The results show that under some conditions the dynamic solution of the system is exponential stability and tends to the steady solution of the system. At last, we analyze the reliability of the system.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

723-730

Citation:

Online since:

December 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] C K Goel,S Narmada and Mendus Jacob.Reliability Analysis of a Two-Unit System with Connecting and Disconnecting Effect.[J].Microelectronics and Reliability. 1997, Vol.37: 1271-1274.

DOI: 10.1016/0026-2714(95)00017-8

Google Scholar

[2] Guo Wei-hua,Wu Song-li. Asymptotic Stability of Solution for a Parallel Maintenance System with Two Components [J].. System Engineering Theory Practice.2006,12(12):62-68.

Google Scholar

[3] Guo Wei-hua, Peng Pei-rang. Exponential Stability Analysis of a Repairable Human Machine System[J]. ICLSIM, 2010.01:994-997.

Google Scholar

[4] A Pazy, Semigroup of Linear Operators and Applications to Partial Differential Equations[M]. Springer, New York, (1983)

Google Scholar

[5] Xu Genqi. A Perturbation Theorem for Radius of A Strong Continuous Semi-group Essential Spectrum [J].ACTA mathematic Sinica.1990, 33(6):757-763.

Google Scholar

[6] Xu Genqi. The Estimation of A Strongly Continuous (C_0) Semi-group Perturbation Essential Spectrum [J]. ACTA Mathematic Sinica.1993, 36(3):335-340.

Google Scholar