| 广义哈密顿仿射控制系统的抽取 |
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| 引用本文： | 杨鑫松,赵晓华.广义哈密顿仿射控制系统的抽取[J].云南大学学报(自然科学版),2006,28(6):467-471. |
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| 作者姓名： | 杨鑫松 赵晓华 |
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| 作者单位： | 1. 云南大学,数学系,云南,昆明,650091
2. 云南大学,数学系,云南,昆明,650091;浙江师范大学,数学系,浙江,金华,321004 |
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| 基金项目： | 国家自然科学基金资助项目(10472100) |
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| 摘 要： | 考虑广义哈密顿仿射控制系统的抽取问题.在抽取的构造过程中强调保持广义哈密顿结构,由于哈密顿向量场在抽取前后不变,因此简化了抽取的程序.还构造1个保持哈密顿向量场的典则结构的抽取.另外讨论了在原系统与抽取的系统在可达性、可控性方面的关系.
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| 关 键 词： | 抽取 广义哈密顿控制系统 非线性控制系统 |
| 文章编号： | 0258-7971(2006)06-0467-05 |
| 修稿时间： | 2005年5月16日 |
Abstraction of generalized Hamiltonian affine control systems |
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| YANG Xin-song,ZHAO Xiao-hua.Abstraction of generalized Hamiltonian affine control systems[J].Journal of Yunnan University(Natural Sciences),2006,28(6):467-471. |
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| Authors: | YANG Xin-song ZHAO Xiao-hua |
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| Institution: | 1. Department of Mathematics, Yunnan University, Kunmi mg 650091, China;2. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China |
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| Abstract: | It is consideredthat the abstraction problemfor generalized Hamiltonian affine control systems.In addition to the property of interest,the generalized Hamiltonian structure of the control system was pre-served and that howthe generalized Hamiltonian structure of control systems can be exploited to si mplify theabstraction process was shown.Then it is discussed these conditions under which local accessibility and con-trollability of the abstracted systemare equivalent to the corresponding properties of the original Hamiltoniancontrol system. |
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| Keywords: | nonlinear control systems generalized Hamiltonian control systems abstractions |
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