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
收藏
页码：146 / +
页数：2
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