| 在常规错误下具有4个部件冗余系统的稳定性分析 |
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| 引用本文： | 盖平,唐慧,赵志欣.在常规错误下具有4个部件冗余系统的稳定性分析[J].吉林大学学报(理学版),2011,49(6):1001-1006. |
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| 作者姓名： | 盖平 唐慧 赵志欣 |
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| 作者单位： | 1. 白城师范学院 数学系, 吉林 白城 137000,2. 北京信息控制研究所, 北京 100037 |
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| 基金项目： | 教育部博士学科点专项科研基金(批准号:20060183017) |
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| 摘 要： | 考虑具有常规故障的4个部件冗余可修复系统模型. 先将系统转化为Banach空间中的抽象Cauchy问题, 再通过分析系统算子及对偶算子的谱分布, 证明了系统算子及其对偶算子谱点均位于复平面的左半平面, 且虚轴上除0点外无其他谱点, 从而得到了系统是渐近稳定的.
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| 关 键 词： | 共轭空间 共轭算子 特征值 几何重数 |
| 收稿时间： | 2011-07-25 |
Stability Analysis of a Four-Unit Redundant System with Common-Cause Failure |
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| GAI Ping,TANG Hui,ZHAO Zhi-xin.Stability Analysis of a Four-Unit Redundant System with Common-Cause Failure[J].Journal of Jilin University: Sci Ed,2011,49(6):1001-1006. |
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| Authors: | GAI Ping TANG Hui ZHAO Zhi-xin |
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| Institution: | 1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, Jilin Province, China;2. Beijing Institute of Information and Control, Beijing 100037, China |
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| Abstract: | A four-unit redundant system with common-cause was discussed.First we transformed the system to an Abstract Cauchy problem in a Banach space.Second,by analyzing the spectrum of the system operator and its dual operator,the authors proved that 0 was unique spectral point on the imaginary axis and the others spectra lie on the left side of the complex plane.As a result,the asymptotic stability of the four-unit redundant system with common-cause was obtained. |
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| Keywords: | dual space adjoint operator eigenvalue geometric multiplicity |
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