| 函数空间多体挠性结构系统动力学、稳定性与控制的研究 |
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| 引用本文： | 徐建国,贾军国.函数空间多体挠性结构系统动力学、稳定性与控制的研究[J].应用数学和力学,2001,22(12):1267-1277. |
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| 作者姓名： | 徐建国 贾军国 |
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| 作者单位： | 1.佛山大学信息科学与工程系, 广东, 佛山, 528000; |
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| 基金项目： | 国家自然科学基金资助项目(19402014);广东省自然科学基金资助项目(960528) |
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| 摘 要： | 利用现代数学方法,在函数空间中研究了一类无穷维系统动力学、稳定性与控制问题.首先提出并建立了具有阻尼、陀螺部件和约束阻尼的多拓扑结构多挠体分布参数系统动力学控制模型;其次给出并论证了多体挠性结构特征、系统分析结果--可控可观性充要条件、稳定性理论和系统的渐近性质.研究的结果扩充和发展了本领域关于多挠体系统动力学与控制的理论成果,具有重要的工程意义.
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| 关 键 词： | 多挠体系统 动力学 稳定性 控制 函数空间 |
| 文章编号： | 1000-0887(2001)12-1267-11 |
| 收稿时间： | 1999-12-15 |
| 修稿时间： | 1999年12月15 |
Study on Dynamics, Stability and Control of Multi-Body Flexible Structure System
in Functional Space |
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| XU Jian_guo ,JIA Jun_guo.Study on Dynamics, Stability and Control of Multi-Body Flexible Structure System
in Functional Space[J].Applied Mathematics and Mechanics,2001,22(12):1267-1277. |
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| Authors: | XU Jian_guo JIA Jun_guo |
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| Institution: | 1.Department of Information Science and Engineering, Foshan University, Foshan, Guangdong 450002, P. R. China;2.Department of Mathematics and Mechanics, Zhengzhou University of Technology, Zhengzhou 450002, P. R. China |
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| Abstract: | The dynamics, stability and control problem of a kind of infinite dimensional system are studied in the functional space with the method of modern mathematics. First, the dynamical control model of the distributed paramater system with multi_body flexible and milti_topological structure was established which has damping, gyroscopic parts and constrained damping. Secondly, the necessary and sufficient condition of controllability and observability, the stability theory and asymptotic property of the system were obtained. These results expand the theory of the field about the dynmaics and control of the system with multi_body flexible structure, and have important engineering significance. |
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| Keywords: | multi_flexible_body system dynamics stability control functional space |
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