摘要
研究了在常规故障条件下具有易损坏储备部件可修复系统.运用Banach空间上的线性算子半群理论,通过分析系统本质谱界经过扰动后的变化,表明在一定的条件下,系统动态解以指数形式收敛于系统的稳态解.
The paper studied a repairable system with a deteriorating standby unit under common-cause failure. By the method of strong continuous semi-group, the paper analyzed the essential spectrum of the system operator before and after perturbation. The results show that the dynamic solutiofl of the system is exponential stability and tends to the steady solution of the system.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第14期121-125,共5页
Mathematics in Practice and Theory
关键词
本质谱界
扰动
指数稳定性
essential spectrum
disturbance
exponential stability