可修复人机储备系统解的渐近稳定性及可靠性分析

讨论了可修复人机储备系统解的渐近稳定性及可靠性分析.证明了系统算子在Banach空间中生成正压缩C0半群,系统的非负稳定解恰是系统算子0本征值对应的本征向量,系统算子的谱点均位于复平面的左半平面且在虚轴上除0外无谱.此外,证明了系统解在特例情况下的可靠性,即瞬态可靠度大于等于其牢固可靠度.

The Asymptotic Stability and Reliability of the Solution of a Repairable, Standby,Human & Machine System

This paper presents the asymptotic stability and reliability of the solution of a repairable,standby,human & machine system.We show that the system operator generates a positive C0-semigroup in the state Banach space.Further,we prove that the system has a steady-state nonnegative solution which is just the eigenvector of the system operator corresponding to eigenvalue 0,and 0 is the unique spectral point of the system on the imaginary axis.In addition,we prove the reliability of the system under the circumstance of special example,that is,the instantaneous reliability is more than or equal to its stable reliability.