在常规故障条件下具有易损坏储备部件可修复系统的稳定性分析

Asymptotic Stability Analysis of a Repairable System with a Beteriorating unit under Common-Cause Failure

讨论了在常规故障条件下具有易损坏储备部件可修复系统的渐进稳定性;证明了系统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外无谱点;此外,证明了0的代数重数为1和求解了系统算子的共轭算子.

This pape presents asymptotic stability analysis of a repair able systm with a beteriorating standby unit under Common-Cause Failure. We show that the system has a steady-state nonnegative solution which is just the eigenvector of the system operator corresponding to eigenvector O, and 0 is the unique spectral point of the system on the imaginary axis. In addition, we prove a lgebraic multiplicity of 0 for 1 and solving conjugate operator of system operator.