New approaches to generalized Hamiltonian realization of autonomous nonlinear systems
文献类型：期刊论文
| 作者 | Wang, YZ; Li, CW; Cheng, DZ
|
| 刊名 | SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
 |
| 出版日期 | 2003-12-01 |
| 卷号 | 46期号:6页码:431-444 |
| 关键词 | generalized Hamiltonian realization feedback dissipative realization first integrals orthogonal decomposition method control-switching method |
| ISSN号 | 1009-2757 |
| DOI | 10.1360/02yf0160 |
| 英文摘要 | The Hamiltonian function method plays an important role in stability analysis and stabilization. The key point in applying the method is to express the system under consideration as the form of dissipative Hamiltonian systems, which yields the problem of generalized Hamiltonian realization. This paper deals with the generalized Hamiltonian realization of autonomous nonlinear systems. First, this paper investigates the relation between traditional Hamiltonian realizations and first integrals, proposes a new method of generalized Hamiltonian realization called the orthogonal decomposition method, and gives the dissipative realization form of passive systems. This paper has proved that an arbitrary system has an orthogonal decomposition realization and an arbitrary asymptotically stable system has a strict dissipative realization. Then this paper studies the feedback dissipative realization problem and proposes a control-switching method for the realization. Finally, this paper proposes several sufficient conditions for feedback dissipative realization. |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000186499100004 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18286]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Wang, YZ |
| 作者单位 | 1.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 3.Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, YZ,Li, CW,Cheng, DZ. New approaches to generalized Hamiltonian realization of autonomous nonlinear systems[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2003,46(6):431-444. |
| APA | Wang, YZ,Li, CW,&Cheng, DZ.(2003).New approaches to generalized Hamiltonian realization of autonomous nonlinear systems.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,46(6),431-444. |
| MLA | Wang, YZ,et al."New approaches to generalized Hamiltonian realization of autonomous nonlinear systems".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 46.6(2003):431-444. |
入库方式： OAI收割
来源：数学与系统科学研究院
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