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
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;
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
DOI :
10.1109/IHMSC.2009.160
