| 机器人及其安全系统的可靠性分析 |
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| 引用本文： | 金鑫,陈雪丹.机器人及其安全系统的可靠性分析[J].数学的实践与认识,2011,41(24). |
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| 作者姓名： | 金鑫 陈雪丹 |
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| 作者单位： | 1. 江苏科技大学基础部,江苏 张家港,215600
2. 延边大学理学院数学系,吉林 廷吉,133002 |
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| 摘 要： | 是以机器人及其安全系统所构成的一个可修复系统作为研究对象,运用泛函分析方法并结合C_0半群理论,证明了严格占优本征值在本系统的存在性并且是系统严格占优本征值,进一步证明了在一定条件下,系统的动态解以指数化形式收敛于系统的稳态解.
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| 关 键 词： | 热储备 严格占优本征值 本质谱界 扰动 指数稳定性 |
Reliability Analysis of a Robot with Safety System |
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| JIN Xin
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CHEN Xue-dan.Reliability Analysis of a Robot with Safety System[J].Mathematics in Practice and Theory,2011,41(24). |
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| Authors: | JIN Xin CHEN Xue-dan |
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| Affiliation: | JIN Xin~1,CHEN Xue-dan~2 (1.Department of basic of Science and Technology Jiangsu University Zhangjiagang 215600,China) (2.Department of Mathematics,Science College Yanbian University,Yanji 133002,China) |
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| Abstract: | This paper presents the analysis of reliability of system which composes of a robot and its associated safety system.We use the functional analysis methods and the -semigroups theory of linear operators to prove the existence of strictly dominant eigenvalue.Furthermore, we prove that the dynamic solution of the system is exponential stable and converges to its static solution.. |
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| Keywords: | simple eigenvalue resolvent operator strictly dominant Eigen-value essential spectrum bound perturbation exponential stable |
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