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| 在常规故障条件下具有易损坏储备部件可修复系统的指数稳定性 | |
| 引用本文： | 董琳琳,张欣,李勇.在常规故障条件下具有易损坏储备部件可修复系统的指数稳定性[J].数学的实践与认识,2009,39(14). |
| 作者姓名： | 董琳琳 张欣 李勇 |
| 作者单位： | 1. 山东省新泰市第一中学,山东,新泰,271200 2. 北京化工大学北方学院,河北,三河,065210 3. 山东省泰安市岱岳区徂徕一中,山东,泰安,271029 |
| 摘 要： | 研究了在常规故障条件下具有易损坏储备部件可修复系统.运用Banach空间上的线性算子半群理论,通过分析系统本质谱界经过扰动后的变化,表明在一定的条件下,系统动态解以指数形式收敛于系统的稳态解. |
| 关 键 词： | 本质谱界 扰动 指数稳定性 |
Exponential Stability Analysis of a Repairable System with a Deteriorating Unit under Common-Cause Failure |
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| DONG Lin-lin,ZHANG Xin,LI Yong.Exponential Stability Analysis of a Repairable System with a Deteriorating Unit under Common-Cause Failure[J].Mathematics in Practice and Theory,2009,39(14). | |
| Authors: | DONG Lin-lin ZHANG Xin LI Yong |
| Abstract: | The paper studied a repairable system with a deteriorating standby unit under common-cause failure.By the method of strong continuous semi-group,the paper analyzed the essential spectrum of the system operator before and after perturbation.The results show that the dynamic solution of the system is exponential stability and tends to the steady solution of the system. |
| Keywords: | essential spectrum disturbance exponential stability |
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