On Hamiltonian realization of time-varying nonlinear systems

doi:10.1007/s11432-007-0041-6

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	On Hamiltonian realization of time-varying nonlinear systems
	Wang YuZhen ; Ge, S. S.; Cheng DaiZhan
	2007-10-01
发表期刊	SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
ISSN	1009-2757
卷号	50 期号:5 页码:671-685
摘要	This paper investigates Hamiltonian realization of time-varying nonlinear (TVN) systems, and proposes a number of new methods for the problem. It is shown that every smooth TVN system can be expressed as a generalized Hamiltonian system if the origin is the equilibrium of the system. If the Jacobian matrix of a TVN system is nonsingular, the system has a generalized Hamiltonian realization whose structural matrix and Hamiltonian function are given explicitly. For the case that the Jacobian matrix is singular; this paper provides a constructive decomposition method, and then proves that a TVN system has a generalized Hamiltonian realization if its Jacobian matrix has a nonsingular main diagonal block. Furthermore, some sufficient (necessary and sufficient) conditions for dissipative Hamiltonian realization of TVN systems are also presented in this paper.
关键词	generalized Hamiltonian realization dissipative Hamiltonian realization diffoemorphism structural construction
DOI	10.1007/s11432-007-0041-6
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000250557500002
出版者	SCIENCE CHINA 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/4367
专题	中国科学院数学与系统科学研究院
通讯作者	Wang YuZhen
作者单位	1.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China 2.Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore 3.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang YuZhen,Ge, S. S.,Cheng DaiZhan. On Hamiltonian realization of time-varying nonlinear systems[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2007,50(5):671-685.
APA	Wang YuZhen,Ge, S. S.,&Cheng DaiZhan.(2007).On Hamiltonian realization of time-varying nonlinear systems.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,50(5),671-685.
MLA	Wang YuZhen,et al."On Hamiltonian realization of time-varying nonlinear systems".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 50.5(2007):671-685.