中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
On Hamiltonian realization of time-varying nonlinear systems

文献类型:期刊论文

作者Wang YuZhen; Ge, S. S.; Cheng DaiZhan
刊名SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
出版日期2007-10-01
卷号50期号:5页码:671-685
关键词generalized Hamiltonian realization dissipative Hamiltonian realization diffoemorphism structural construction
ISSN号1009-2757
DOI10.1007/s11432-007-0041-6
英文摘要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.
WOS研究方向Computer Science
语种英语
WOS记录号WOS:000250557500002
出版者SCIENCE CHINA PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/4366]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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