摘要
本文研究了含同原因故障且由一个冷储备部件和两个不同型的平行部件组成的可修复系统的指数稳定性.在已经得到该系统主算子性质的基础上,估算该系统的系统算子的增长界,运用共尾理论及C_0-半群的相关知识得到系统算子A+B的谱界与增长界相等.进而运用相关代数知识证得0为系统算子的简单本征值,并得到系统算子的谱分布.最后,由半群展开定理得到系统的指数稳定性.
In this paper, we investigate the exponential stability of a system consisting of two identical parallel redundant active units, with a cold standby unit and common- cause failure. According to properties of the main operator of the system, we estimate the growth bound of the system operator A ＋ B. Then using cofinal theory and C0- semigroup theory, we prove that the spectral bound of A＋ B shares the same value of its growth bound. Further more, we show that 0 is the simple eigenvalue of A ＋ B. Finally, we obtain the exponential stability of the system using expansion theorem of semigroup.
出处
《应用泛函分析学报》
2016年第1期41-49,共9页
Acta Analysis Functionalis Applicata
关键词
共尾
谱分布
指数稳定性
cofinal
spectral distribution
exponential stability
