| Geometric
structure of generalized controlled Hamiltonian systems and its application |
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| 作者姓名： | 程代展 席在荣 卢强 梅生伟 |
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| 作者单位： | CHENG Daizhan,XI Zairong(Laboratory of Systems and Control, Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China);LU Qiang,MEI Shengwei(Department of Electrical Engineering, Tsinghua University, Beijing 100084, China)
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| 基金项目： | the National Natural Science Foundation of China，国家重大项目 |
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| 摘 要： | The main purpose of this paper is to provide a systematic geometric frame for generalized controlled Hamiltonian systems. The pseudo-Poisson manifold and the co-manifold are proposed as the statespace of the generalized controlled Hamiltonian systems. A Lie group, called N-group, and its Lie algebra, called N-algebra, are introduced for the structure analysis of the systems. Some properties, including spectrum, structure-preservation, etc. are investigated. As an example the theoretical results are applied to power systems. The stabilization of excitation systems is investigated.
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Geometric structure of generalized controlled Hamiltonian systems and its application |
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| CHENG Daizhan,XI Zairong,LU Qiang,MEI Shengwei.Geometric
structure of generalized controlled Hamiltonian systems and its application[J].Science in China(Technological Sciences),2000,43(4):365-379. |
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| Authors: | CHENG Daizhan XI Zairong LU Qiang MEI Shengwei |
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| Affiliation: | 1. Laboratory of Systems and Control, Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China
2. Department of Electrical Engineering, Tsinghua University, Beijing 100084, China |
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| Abstract: | The main purpose of this paper is to provide a systematic geometric frame for generalized controlled Hamiltonian systems. The pseudo-Poisson manifold and the co-manifold are proposed as the statespace of the generalized controlled Hamiltonian systems. A Lie group, called N-group, and its Lie algebra, called N-algebra, are introduced for the structure analysis of the systems. Some properties, including spectrum, structure-preservation, etc. are investigated. As an example the theoretical results are applied to power systems. The stabilization of excitation systems is investigated. |
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| Keywords: | generalized Hamiltonian system symplectic geometry symplectic group Poisson bracket excita-tion control |
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