The Asymptotical Stability Of a Warm Standby System with Priority in Use And Repair
In this paper we consider a warm standby repairable system that consists of two dissimilar components and one repairman.Suppose that the life of each component satisfies the exponentially distribution and the repair time of the component satisfies the general distribution,the component 1 has priority in use and repair.Firstly,a mathematical model is built via the differential and partial differential equations,then by using the C0-semigroup theory and analyzing the spectra distribution of the system operator,the unique existence of the solution is derived.Then the non-negative steady-state solution and the asymptotic stability of the system are derived.
Linear operator C0 Semigroup Well-Posedness Asymptotic Stability
Hongjun Sun Lixia Ma
Population Theory Staff in Center for Population and Family Planning Cadre Training, The Logisitics Department of Mathematics, Tianjin University, Tianjin 300072, P. R. China
国际会议
the 25th Chinese Control and Decision Conference(第25届中国控制与决策会议)
贵阳
英文
5038-5043
2013-05-01（万方平台首次上网日期，不代表论文的发表时间）