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Generalized Hamiltonian realization of time-invariant nonlinear systems

文献类型：期刊论文

作者Wang, YZ; Li, CW; Cheng, DZ
刊名AUTOMATICA
出版日期2003-08-01
卷号39期号:8页码:1437-1443
关键词generalized Hamiltonian realization feedback dissipative realization Jacobian matrix orthogonal decomposition method
ISSN号0005-1098
DOI10.1016/S0005-1098(03)00132-8
英文摘要A key step in applying the Hamiltonian function method is to express the system under consideration into a generalized Hamiltonian system with dissipation, which yields the so-called generalized Hamiltonian realization (GHR). In this paper, we investigate the problem of GHR. Several new methods and the corresponding sufficient conditions are presented. A major result is that if the Jacobian matrix of a time-invariant nonlinear system is nonsingular, the system has a GHR whose structure matrix and Hamiltonian function are given in simple forms. Then the orthogonal decomposition method and a sufficient condition for the feedback dissipative realization are proposed. (C) 2003 Elsevier Ltd. All rights reserved.
WOS研究方向Automation & Control Systems ; Engineering
语种英语
WOS记录号WOS:000184188700011
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/18917]  
专题系统科学研究所
通讯作者Wang, YZ
作者单位1.Tsing Hua Univ, Dept Automat, Beijing 100084, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
3.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
推荐引用方式
GB/T 7714		 Wang, YZ,Li, CW,Cheng, DZ. Generalized Hamiltonian realization of time-invariant nonlinear systems[J]. AUTOMATICA,2003,39(8):1437-1443.
APA Wang, YZ,Li, CW,&Cheng, DZ.(2003).Generalized Hamiltonian realization of time-invariant nonlinear systems.AUTOMATICA,39(8),1437-1443.
MLA Wang, YZ,et al."Generalized Hamiltonian realization of time-invariant nonlinear systems".AUTOMATICA 39.8(2003):1437-1443.

入库方式： OAI收割

来源：数学与系统科学研究院

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