摘要
研究了两同型部件温贮备可修系统,此系统由2个同型部件及一个修理设备构成.其中一个部件工作,另一个部件温储备.运用C_o半群的理论,证明系统算子是稠定的预解正算子,得出系统算子的共轭算子及其定义域,并证明了系统算子的增长界为O.最后运用了预解正算子中共尾的概念及相关理论,证明系统算子的谱上界也是0.
We investigate the repairable system which is an 1-unit system supported by an identical warm standby.Using C0-semigroup theory,we first prove the system operator is a densely defined resolvent positive operator.Then,we obtain the adjoint operator of the system operator and its domain.Furthermore,we prove that 0 is the growth bound of the system operator.Finally,we show that 0 is also the upper spectral bound of the system operator using the concept of cofinal and relative theory.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第3期236-244,共9页
Mathematics in Practice and Theory
关键词
可修系统
温储备
预解正算子
共轭算子
增长界
共尾
谱上界
repairable system
warm standby
resolvent positive operator
adjoint operator
growth bound
cofinal
upper spectral bound
