标题:
由常规故障和临界人为错误引起系统故障的可修复系统的算子性质Properties of the System Operator of the Repairable System under Common-Cause Failure and Critical Human Error
作者:
苑爽, 王辉
关键字:
可修复系统, 预解正算子, 增长界, 共尾, 谱上界Repairable Systems, Resolvent Positive Operator, Growth Bound, Cofinal, Upper Spectral Bound
期刊名称:
《Pure Mathematics》, Vol.5 No.5, 2015-09-25
摘要:
本文讨论了由常规故障和临界人为错误引起系统故障的可修复系统，通过运用C0半群的理论，证明该系统的预解正算子是稠定的，从而证明了系统算子的增长界为0。最后运用共尾概念和相关理论，证明了该系统算子的谱上界也为0。
The objective of this paper is to research a stochastic model representing system under common- cause failure and critical human error. Using C0 semigroup theory, we first prove that the system operator is a densely defined resolvent positive operator. Then, we set the adjoint operator of the system operator and its domain. So, we can prove that 0 is the growth bound of the system operator. At last, by using the concept of cofinal and relative theory we can prove that 0 is also spectral bound of the system operator.