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

页码：365 / 379

页数：15