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
相关论文
共 50 条
  • [21] A REPAIRABLE SYSTEM WITH PARTIAL AND CATASTROPHIC FAILURE MODES
    YAMASHIRO, M
    MICROELECTRONICS AND RELIABILITY, 1981, 21 (01): : 97 - 101
  • [22] Reliability of warm standby repairable system under two kinds of switch modes
    Peng, Jiang-Yan
    He, Ping
    2003, Science Press (38):
  • [23] M=G=1 repairable queueing system with warm standby failure
    Tang, Y.-H. (tangyh@uestc.edu.cn), 1600, Systems Engineering Society of China (34):
  • [24] Exponential Stability Analysis of a Repairable Human & Machine System
    Guo Weihua
    Peng Peirang
    PROCEEDINGS OF 2010 INTERNATIONAL CONFERENCE ON LOGISTICS SYSTEMS AND INTELLIGENT MANAGEMENT, VOLS 1-3, 2010, : 994 - +
  • [25] Exponential stability of a repairable system with imperfect switching mechanism
    Hu, Weiwei
    Shen, Zifei
    Xin, Yuhong
    Zhu, Guangtian
    ASYMPTOTIC ANALYSIS, 2007, 54 (1-2) : 93 - 102
  • [26] Exponential Stability and Availability Analysis of a Complex Standby System
    Chunli WANG
    Mingyan TENG
    Fu ZHENG
    Journal of Systems Science and Information, 2014, 2 (03) : 279 - 288
  • [27] Stability analysis of a new kind n-unit series repairable system
    Guo, Lina
    Xu, Houbao
    Gao, Chao
    Zhu, Guangtian
    APPLIED MATHEMATICAL MODELLING, 2011, 35 (01) : 202 - 217
  • [28] RELIABILITY PREDICTION OF A 2 UNIT STANDBY REDUNDANT SYSTEM WITH STANDBY FAILURE
    GARG, RC
    SAWHNEY, S
    MICROELECTRONICS AND RELIABILITY, 1972, 11 (03): : 263 - &
  • [29] AVAILABILITY ANALYSIS OF A 2-UNIT COLD STANDBY SYSTEM WITH 2 SWITCHING FAILURE MODES
    GOEL, LR
    GUPTA, R
    MICROELECTRONICS RELIABILITY, 1984, 24 (03) : 419 - 423
  • [30] Cold standby n-component repairable system with repairman vacation
    Wen Y.
    Cui L.
    Liu B.
    Cui, Lirong (Lirongcui@bit.edu.cn), 1600, Beijing University of Aeronautics and Astronautics (BUAA) (42): : 569 - 575
12345