Stability of the Redundant System with Two Correlated Units

Xing Qiao; Ming Fang

doi:10.4028/www.scientific.net/AMM.198-199.973

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 198-199Stability of the Redundant System with Two...

Stability of the Redundant System with Two Correlated Units

Abstract:

In this paper the qualitative behaviors of the two correlated units redundant system with two types of failure were discussed. By using the method of functional analysis, especially, the semigroup theory of bounded linear operators on Banach space, the well-posedness and the existence of positive solution of the system was obtained. By analyzing the spectra distribution of the system operator, 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 was proved.

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Periodical:

Applied Mechanics and Materials (Volumes 198-199)

Pages:

973-977

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.198-199.973

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Online since:

September 2012

Authors:

Xing Qiao, Ming Fang

Keywords:

Correlated Units, Positive Solution, Spectra Distribution, Stability

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