| 具有预警功能的可修复系统 |
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| 引用本文： | 高超,朱广田.具有预警功能的可修复系统[J].应用泛函分析学报,2011,13(1):19-29. |
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| 作者姓名： | 高超 朱广田 |
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| 作者单位： | 1. 北京信息控制研究所,北京,100037
2. 中国科学院数学与系统科学研究院,北京,100190 |
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| 摘 要： | 研究了一个具有预警功能的可修复系统．通过选取空间和定义系统算子，将模型方程转化成为了抽象Cauchy问题．然后利用算子半群理论证明了系统解的存在唯一性与指数稳定性．另外，当风险系数趋于无穷时，这种系统逼近于一种具有弱解的模型系统，利用这个性质可得出相应结论并给出了数值仿真例子．
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| 关 键 词： | 预警系统 强解 弱解 逼近 指数稳定性． |
Repairable System with Warning Function |
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| GAO Chao,ZHU Guangtian.Repairable System with Warning Function[J].Acta Analysis Functionalis Applicata,2011,13(1):19-29. |
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| Authors: | GAO Chao ZHU Guangtian |
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| Institution: | GAO Chao~1,ZHU Guangtian~2 1.Beijing Institute of Information and Control,Beijing,100037,China 2.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China |
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| Abstract: | This paper presents a repairable system with warning function.By choosing state space and defining operator of system,we transfer model into an abstract Cauchy problem.Then,we prove the property of system solution by operator theory.Moreover,the warming system approximate to a system with mild solution,as hazard rate approaches to infinity.According to this line,we give several conclusion and simulation examples. |
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| Keywords: | warning function classical solution mild solution approximation exponential stability |
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