Exponential Stability of a Repairable System with N Failure Modes and One Standby Unit

被引：6

作者：

Zheng, Fu ^{[1
]}

Qiao, Xing ^{[2
]}

机构：

[1] Bohai Univ, Dept Math, Jinzhou 121013, Liaoning, Peoples R China

[2] Daqing Normal Coll, Dept Math, Daqing 163712, Heilongjiang, Peoples R China

来源：

2009 INTERNATIONAL CONFERENCE ON INTELLIGENT HUMAN-MACHINE SYSTEMS AND CYBERNETICS, VOL 2, PROCEEDINGS | 2009年

关键词：

C-0-semigroup; essential spectral bound; exponential stability; GROWTH;

D O I：

10.1109/IHMSC.2009.160

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The existence of a unique nonnegative time-dependent solution to the repairable system with N failure modes and one standby unit is obtained by using C-0-Semigroup theory. The spectral properties and the essential spectrum bound of the stand-by system are discussed by using perturbation method. In the end, we get the desired result that the dynamic solution of the system exponentially tends to the steady solution.

引用

页码：146 / +

页数：2

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