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一类两相同部件并联可修系统的稳定性
引用本文:王定江. 一类两相同部件并联可修系统的稳定性[J]. 浙江工业大学学报, 2006, 34(2): 228-229,236
作者姓名:王定江
作者单位:浙江工业大学,理学院,浙江,杭州,310032
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.

关 键 词:并联系统  C0半群  正解  稳定性
文章编号:1006-4303(2006)02-0228-02
收稿时间:2005-08-27
修稿时间:2005-08-27

Stability of a class of repairable system consisting of two identical units
WANG Ding-jiang. Stability of a class of repairable system consisting of two identical units[J]. Journal of Zhejiang University of Technology, 2006, 34(2): 228-229,236
Authors:WANG Ding-jiang
Affiliation:College of Sciences, Zhejiang University of Technology, Hangzhou 310032, China
Abstract: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.
Keywords:multiple system   C0-semigroup   positive solution, stability
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