摘要
研究了可发生多种故障的可修复系统.运用C_0半群理论,通过服务率均值的观念,对系统主算子的谱界进行了估值,并得到该谱上界即为各服务率均值的最小者的相反数.然后运用了共尾的概念及相关的理论,得到了系统算子的谱界与系统算子产生的半群的增长界相等.最后由分析了系统算子的谱分布,得到了系统的指数稳定性.
Studies the repairable system can produce.a variety of fault. In this paper, using Co semigroup theory, through the concept of the average service rate for spectrum bound for valuation of the system＇s host operator, and get the upper bound of the spectrum is the opposite of each service rate of average minimum. Then use the concept of confinal and related thory, the spectrum of the system operator are obtained with the system operator semigroup produced is equal to the growth bounds of system operator semigroups. Finally by the analysis of the spectral distribution of the system operator, and get the exponential stability of the system.
出处
《数学的实践与认识》
北大核心
2015年第16期185-195,共11页
Mathematics in Practice and Theory
关键词
可发生多种故障
预解正算子
谱界
共尾
增长界
指数稳定性
a variety of failure
resolvent positive operator
spectral bound
cofinal
growthbound
exponential stability
