Geometric structure of generalized controlled Hamiltonian systems and its application
文献类型：期刊论文
| 作者 | Cheng, DZ ; Xi, ZR; Lu, Q; Mei, SW
|
| 刊名 | SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES
 |
| 出版日期 | 2000-08-01 |
| 卷号 | 43期号:4页码:365-379 |
| 关键词 | generalized Hamiltonian system symplectic geometry symplectic group Poisson bracket excitation control |
| ISSN号 | 1006-9321 |
| 英文摘要 | The main purpose of this paper is to provide a systematic geometric frame for generalized controlled Hamiltonian systems. The pseudo-Poisson manifold and the omega-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. |
| WOS研究方向 | Engineering ; Materials Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000089290000005 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15733]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Cheng, DZ |
| 作者单位 | 1.Chinese Acad Sci, Inst Syst Sci, Lab Syst & Control, Beijing 100080, Peoples R China 2.Tsinghua Univ, Dept Elect Engn, Beijing 100084, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, DZ,Xi, ZR,Lu, Q,et al. Geometric structure of generalized controlled Hamiltonian systems and its application[J]. SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES,2000,43(4):365-379. |
| APA | Cheng, DZ,Xi, ZR,Lu, Q,&Mei, SW.(2000).Geometric structure of generalized controlled Hamiltonian systems and its application.SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES,43(4),365-379. |
| MLA | Cheng, DZ,et al."Geometric structure of generalized controlled Hamiltonian systems and its application".SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES 43.4(2000):365-379. |
入库方式： OAI收割
来源：数学与系统科学研究院
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