Stability analysis of series repairable system with two components

Yang Ping, Wu Songli
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Abstract

The series repairable system with two components is studied in the paper. By the method of strong continuous semi-group, the paper analyzed the restriction of essential spectral growth bound of the system operator. The essential spectral radius of the system operator is also discussed before and after perturbation. The results show that the dynamic solution of the system is exponential stability and tends to the steady solution of the system.
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双组分串联可修系统的稳定性分析
本文研究了双部件串联可修系统。利用强连续半群的方法,分析了系统算子本质谱增长界的约束条件。讨论了扰动前后系统算子的基本谱半径。结果表明,系统的动态解是指数稳定的,并趋向于系统的稳态解。
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