| 具有预警功能和可修复储备部件的人-机系统 |
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| 引用本文： | 韩筱爽1,方明2. 具有预警功能和可修复储备部件的人-机系统[J]. 延边大学学报(自然科学版), 2014, 0(2): 142-145 |
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| 作者姓名： | 韩筱爽1 方明2 |
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| 作者单位： | 1.延边大学科学技术学院, 吉林 延吉 133002; 2.延边大学理学院 数学系, 吉林 延吉 133002 |
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| 摘 要： | 在具有可修复储备部件的人-机系统基础上,增加一个预警状态,使其变为预警系统,利用线性算子半群理论证明了系统非负时间依赖解的存在唯一性、渐进稳定性和指数稳定性,最后通过数值计算得出在一定条件下预警系统与非预警系统的稳态可用度的相对误差趋近于0.
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| 关 键 词： | 预警系统 稳定性 稳态可用度 |
A human-machine system with warning function and general failed system repair time distribution |
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| HAN Xiaoshuang1,FANG Ming2. A human-machine system with warning function and general failed system repair time distribution[J]. Journal of Yanbian University (Natural Science), 2014, 0(2): 142-145 |
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| Authors: | HAN Xiaoshuang1 FANG Ming2 |
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| Affiliation: | 1.Institute of Science and Technology, Yanbian University, Yanji 133002, China; 2.Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China |
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| Abstract: | Based on a model representing human-machine system with general failed system repair time distribution, we added a warning state and make it into a system with warning function. We proved non-negative time-dependent existence and uniqueness, asymptotic stability and exponential stability of system solution by the linear operator semi-group theory. At last, by using numerical calculation, we concluded that, under certain condition, the steady-state availability’s relative error of warning system and non-warning system is tend to be zero. |
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| Keywords: | warning system stability steady-state availability |
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