| 机器人与其连带的安全装置构成的系统稳定性分析 |
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| 引用本文： | 郭卫华,许跟起. 机器人与其连带的安全装置构成的系统稳定性分析[J]. 数学的实践与认识, 2003, 33(9): 116-122 |
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| 作者姓名： | 郭卫华 许跟起 |
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| 作者单位： | 1. 驻马店教育学院数学系,河南,驻马店,463000
2. 山西大学数学系,山西,太原,030006 |
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| 基金项目： | 河南省教育厅自然科学基金项目 ( 2 0 0 0 1 1 0 0 1 4)，山西省自然科学基金项目 ( 2 0 0 2 0 0 1 ) |
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| 摘 要： | 本文用强连续算子半群理论证明了机器人与其连带的安全装置构成的系统存在唯一的非负动态依赖解 ,并表明在一定条件下 ,系统存在稳态正解 ,且系统的动态解在通常意义下 (空间范数意义下 )渐近收敛于稳态解
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| 关 键 词： | 机器人 安全装置 算子半群 稳定性 |
| 修稿时间： | 2003-04-21 |
Stability Analysis of the System Consising of a Robot and Its Associated Safety Mechanism |
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| GUO Wei|hua ,XU Gen|qi. Stability Analysis of the System Consising of a Robot and Its Associated Safety Mechanism[J]. Mathematics in Practice and Theory, 2003, 33(9): 116-122 |
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| Authors: | GUO Wei|hua XU Gen|qi |
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| Affiliation: | GUO Wei|hua 1,XU Gen|qi 2 |
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| Abstract: | In this paper, we shall prove the existence and uniqueness of a non|negative time|dependent solution of the robot and its associated safety mechanism by strongly continuous semigroups of operators theory. Further, under some conditions, we show that there exists a stead solution of the system and the dynamic solution of the system asymptotically the stead solution of the system. |
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| Keywords: | robot safety mechanism semigroups of operators stability |
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