• DocumentCode
    2439652
  • Title

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

  • Author

    Zheng, Fu ; Qiao, Xing

  • Author_Institution
    Dept. of Math., Bohai Univ. Jinzhou, Jinzhou, China
  • Volume
    2
  • fYear
    2009
  • fDate
    26-27 Aug. 2009
  • Firstpage
    146
  • Lastpage
    149
  • Abstract
    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 C0-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.
  • Keywords
    asymptotic stability; failure analysis; group theory; perturbation techniques; reliability theory; C0-semigroup theory; N failure mode; exponential stability; one standby unit; perturbation method; repairable system reliability; stand-by system; unique nonnegative time-dependent solution; Asymptotic stability; Cybernetics; Educational institutions; Integrodifferential equations; Intelligent systems; Man machine systems; Mathematics; Perturbation methods; Transforms; $C_0$-semigroup; essential spectral bound; exponential stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Human-Machine Systems and Cybernetics, 2009. IHMSC '09. International Conference on
  • Conference_Location
    Hangzhou, Zhejiang
  • Print_ISBN
    978-0-7695-3752-8
  • Type

    conf

  • DOI
    10.1109/IHMSC.2009.160
  • Filename
    5336023
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2439652