摘要
讨论了一个储备部件和N个故障模型的可修复系统的稳定性.证明系统算子的谱点在复平面的左半平面,虚轴上的点除0点外都无谱,且0是系统算子的一个简单本征值.并由此得出系统模型非负时间依赖解趋于稳定解.
Discusses stability of a repairable system with N failure mode and one standby unit. We show that 0 is a simple eigenvalue of this system operator and is also a unique spectral point on the imaginary axis. In combination with this, we obtain that the time-dependent solution of the system converges strongly to the steady-state solution.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第23期152-159,共8页
Mathematics in Practice and Theory