Geometric structure of generalized controlled Hamiltonian systems and its application

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	Geometric structure of generalized controlled Hamiltonian systems and its application
	Cheng, DZ; Xi, ZR; Lu, Q ; Mei, SW
	2000-08-01
发表期刊	SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES
ISSN	1006-9321
卷号	43 期号:4 页码:365-379
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.
关键词	generalized Hamiltonian system symplectic geometry symplectic group Poisson bracket excitation control
语种	英语
WOS研究方向	Engineering ; Materials Science
WOS类目	Engineering, Multidisciplinary ; Materials Science, Multidisciplinary
WOS记录号	WOS:000089290000005
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15734
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.