Generalized Hamiltonian realization of time-invariant nonlinear systems

doi:10.1016/S0005-1098(03)00132-8

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	Generalized Hamiltonian realization of time-invariant nonlinear systems
	Wang, YZ ; Li, CW ; Cheng, DZ
	2003-08-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	39 期号:8 页码:1437-1443
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.
关键词	generalized Hamiltonian realization feedback dissipative realization Jacobian matrix orthogonal decomposition method
DOI	10.1016/S0005-1098(03)00132-8
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000184188700011
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18918
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.