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OALib Journal期刊
ISSN: 2333-9721
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Asymptotic Stability of Solution for a Parallel Maintenance System with Two Components
两部件并联维修系统解的渐近稳定性

Keywords: maintenance system,sperctral,asymptotic stability
维修系统
,,渐近稳定性

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Abstract:

Asymptotic behavior of a parallel maintenance system with two components is studied.With the positive C_0 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.

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