一类两相同部件并联可修系统的稳定性  

Stability of a class of repairable system consisting of two identical units

作　　者：王定江[1] 

机构地区：[1]浙江工业大学理学院,浙江杭州310032

出　　处：《浙江工业大学学报》2006年第2期228-229,236,共3页Journal of Zhejiang University of Technology

摘　　要：可修系统是可靠性理论研究的主要内容,可修系统包含串联和并联系统,并联系统是指系统中的多个部件有一个完好系统就能正常工作的一类系统.本文讨论一类两相同部件并联可修系统的数学模型,应用强连续算子半群证明了系统的非负解的存在唯一性,讨论了系统的稳定性.Repairable system is the main content of the reliability theory. It contains series system and multiple system. A multiple system is defined that the system will run if there is any one unit in good condition, a system does work , the system also works , then the system is called a multiple system . In this Paper, a class of repairable system consisting of two identical units is discussed. By using C0-semigroup theory of functional analysis,the existence of unique positive solution of the system has been proved. The stability of system is discussed under some conditions.

关 键 词：并联系统 CO半群 正解 稳定性 

分 类 号：O29[理学—应用数学] O177.92[理学—数学]