Exponential Stability Analysis of a Markovian Deteriorating System  

作　　者：Yinghua Shen Yufeng Zhang Aidong Jin 

机构地区：[1]Department of Mathematics, Science College, Yanbian University, Yanji 133002, China [2]Teachers College, Yanbian University, Yanji 133002, China

出　　处：《Journal of Systems Science and Information》2009年第2期129-140,共12页系统科学与信息学报（英文）

摘　　要：The reliability of a complex system passes through a gradual deterioration until at some critical level, the system fails completely. The study of the exponential stability of such a system requires the application of functional analysis and, particularly, the theory of linear operators in Banach space to demonstrate the existence of strictly dominant eigenvalue. Through analyzing the variation of the essential spectral radius of semigroups before and after perturbation, it is shown that the dynamic solution of the system converges to the steady-state solution of the system exponentially under certain condition.

关 键 词：strictly dominant eigenvalue CO-SEMIGROUP the essential spectral radius PERTURBATION exponential stability 

分 类 号：O211.62[理学—概率论与数理统计] N941.4[理学—数学]