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 |
| DOI | 10.1007/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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