在常规错误下具有4个部件冗余系统的稳定性分析  

Stability Analysis of a Four-Unit Redundant System with Common-Cause Failure

作　　者：盖平[1] 唐慧[1] 赵志欣[2] 

机构地区：[1]白城师范学院数学系,吉林白城137000 [2]北京信息控制研究所,北京100037

出　　处：《吉林大学学报（理学版）》2011年第6期1001-1006,共6页Journal of Jilin University:Science Edition

基　　金：教育部博士学科点专项科研基金(批准号:20060183017)

摘　　要：考虑具有常规故障的4个部件冗余可修复系统模型.先将系统转化为Banach空间中的抽象Cauchy问题,再通过分析系统算子及对偶算子的谱分布,证明了系统算子及其对偶算子谱点均位于复平面的左半平面,且虚轴上除0点外无其他谱点,从而得到了系统是渐近稳定的.A four-unit redundant system with common-cause was discussed. First we transformed the system to an abstract Cauchy problem in a Banach space. Second, by analyzing the spectrum of the system operator and its dual operator, the authors proved that 0 was unique spectral point on the imaginary axis and the others spectra lie on the left side of the complex plane. As a result, the asymptotic stability of the four-unit redundant system with common-cause was obtained.

关 键 词：共轭空间 共轭算子 特征值 几何重数 

分 类 号：O29[理学—应用数学]