Asymptotic stability of a repairable system with imperfect switching mechanism

نویسندگان

  • Houbao Xu
  • Weihua Guo
  • Jingyuan Yu
  • Guangtian Zhu
چکیده

This paper studies the asymptotic stability of a repairable system with repair time of failed system that follows arbitrary distribution. We show that the system operator generates a positive C0-semigroup of contraction in a Banach space, therefore there exists a unique, nonnegative, and time-dependant solution. By analyzing the spectrum of system operator, we deduce that all spectra lie in the left half-plane and 0 is the unique spectral point on imaginary axis. As a result, the time-dependant solution converges to the eigenvector of system operator corresponding to eigenvalue 0.

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2005  شماره 

صفحات  -

تاریخ انتشار 2005