摘要
介绍了一个具有人为故障的人-机系统的可修复模型,利用算子半群理论证明了新模型系统解的存在唯一性和指数型稳定性.另外,当故障率λ_0→∞时,系统的瞬态可用度逼近弱解系统瞬态可用度.即,新模型系统逼近原模型弱解系统.
This paper presents the repairable model of a man-machine with human error. By operator theory ,the existence and uniqueness and the exponential stability of new model system is discussed in the paper.particularly, when λ0 approaches to infinity, the instanta- neous stability of the system approach to the instantaneous stability of the weak solution of the system.That is,the new system approximate to the original system withmild solution.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第12期164-174,共11页
Mathematics in Practice and Theory
关键词
人为故障
瞬态可用度
逼近
弱解
human error
instantaneous stability
approximation
mild solution
