Geometric structure of generalized controlled Hamiltonian systems and its application

被引:32
作者
Cheng, DZ [1 ]
Xi, ZR
Lu, Q
Mei, SW
机构
[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
来源
SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES | 2000年 / 43卷 / 04期
基金
中国国家自然科学基金;
关键词
generalized Hamiltonian system; symplectic geometry; symplectic group; Poisson bracket; excitation control;
D O I
10.1007/BF02916984
中图分类号
T [工业技术];
学科分类号
08 ;
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.
引用
收藏
页码:365 / 379
页数:15
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