离散时间单部件可修系统瞬时可用度的渐近稳定性  

The Asymptotic Stability of the Instantaneous Availability for the One-unit Repairable System

作　　者：王立超[1] 杨懿[1] 邹云[2] 康锐[1] 

机构地区：[1]北京航空航天大学可靠性与系统工程学院,北京100191 [2]南京理工大学自动化学院,南京210094

出　　处：《数学的实践与认识》2010年第23期119-133,共15页Mathematics in Practice and Theory

基　　金：国家自然科学基金(60674014;60874007)

摘　　要：针对离散时间下修理有延迟的单部件可修系统,研究了有限时间约束下的系统瞬时可用度模型.证明了该系统瞬时可用度的渐近稳定性,并得到了系统稳态可用度的表达式.结果表明系统瞬时可用度的稳定性对离散时间系统和连续时间系统具有一致性,进一步说明了离散时间下瞬时可用度模型的有效性,同时也加强了研究有限时间段内系统瞬时可用度波动的理论基础.For discrete-time one-unit repairable systems with repair delay,the instantaneous availability under limited time constraints is studied.The asymptotic stability of the instantaneous availability is proved,and the steady-state availability is obtained.The result illustrates the consistence of the stability of the instantaneous availability between discrete-time systems and continuous-time systems,which further confirm the effectiveness of the instantaneous availability model and strengthen the theoretic basis of study on the undulation of the instantaneous availability within finite time.

关 键 词：瞬时可用度 稳态可用度 单部件可修系统 修理有延迟 特征根 

分 类 号：O213.2[理学—概率论与数理统计]