Asymptotic Stability of k-out-of-N:G Redundant System
Author(s): XU Houbao, GUO Weihua, YU Jingyuan, ZHU Guangtian
Pages: 209-219
Year: 2004 Issue: 3
Journal: ACTA ANALYSIS FUNCTIONALIS APPLICATA
Keyword: k -out-of-N:G redundant systems; asymptotic stability; positive C0-semigroup;
Abstract: This paper presents the asymptotic stability of a k-out-of-N:G redundant system associated with repair facilities and multiple critical and non-critical errors. We show that the system operator generates a positive C0- semigroups in the state Banach space. Further,we derive that the system has a steady-state solution which is just the eigenvector of the system operator corresponding to eigenvalue 0. By analyzing the spectrum of system,we find that 0 is the unique spectral point of the system on the imaginary axis. As a result,the asymptotic stability of the system is obtained.
Pages: 209-219
Year: 2004 Issue: 3
Journal: ACTA ANALYSIS FUNCTIONALIS APPLICATA
Keyword: k -out-of-N:G redundant systems; asymptotic stability; positive C0-semigroup;
Abstract: This paper presents the asymptotic stability of a k-out-of-N:G redundant system associated with repair facilities and multiple critical and non-critical errors. We show that the system operator generates a positive C0- semigroups in the state Banach space. Further,we derive that the system has a steady-state solution which is just the eigenvector of the system operator corresponding to eigenvalue 0. By analyzing the spectrum of system,we find that 0 is the unique spectral point of the system on the imaginary axis. As a result,the asymptotic stability of the system is obtained.
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