| 一类可修的人机系统解的渐近稳定性 |
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| 引用本文： | 郭卫华,吴松丽,徐厚宝. 一类可修的人机系统解的渐近稳定性[J]. 系统工程理论与实践, 2004, 24(8): 91-95. DOI: 10.12011/1000-6788(2004)8-91 |
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| 作者姓名： | 郭卫华 吴松丽 徐厚宝 |
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| 作者单位： | (1)郑州轻工业学院信息与计算科学系;(2)驻马店教育学院数学系 |
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| 基金项目： | 河南省教育厅自然科学基金(2000110014) |
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| 摘 要： | 研究了两相同部件温储备可修的人机系统,利用由该系统所决定的算子A+B生成的Banach空间中的正压缩C0半群,证明了此系统的非负稳定解恰是算子A+B的.本征值对应的本征向量,同时通过研究算子A+B的谱特征,得到了算子A+B的谱点均位于复平面的左半平面且在虚轴上除0点外无谱的结论,进而得到了该系统的渐近稳定性.
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| 关 键 词： | 人机系统 本征值 谱 渐近稳定性 |
| 文章编号： | 1000-6788(2004)08-0091-05 |
| 修稿时间： | 2003-04-26 |
Asymptotic Stability of the Solution of a Repairable Human & Machine System |
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| Wei Hua GUO,Song Li WU,Hou Bao XU. Asymptotic Stability of the Solution of a Repairable Human & Machine System[J]. Systems Engineering —Theory & Practice, 2004, 24(8): 91-95. DOI: 10.12011/1000-6788(2004)8-91 |
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| Authors: | Wei Hua GUO Song Li WU Hou Bao XU |
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| Affiliation: | (1)Department of Information and Computer Science, Zhengzhou Institute of Light Industry;(2)Department of mathematics,Zhumadian Education College |
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| Abstract: | In this paper, we study the asymptotic behavior of a warm standby repairable human-machine system with two identical units. By the positive C_0-semigroup which is generated by the operator A+B, we show that there exists a steady nonnegative solution of the system which is just the normalized eigenvector of operator A+B corresponding to eigenvalue 0. By studying spectral properties of the operator A+B, we prove that there is no spectrum of A+B on the imaginary axis except 0. As a result of the stability of s... |
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| Keywords: | human-machine system eigenvalue spectral asymptotic stability |
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