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New approaches to generalized Hamiltonian realization of autonomous nonlinear systems
Wang, YZ; Li, CW; Cheng, DZ
2003-12-01
发表期刊SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
ISSN1009-2757
卷号46期号:6页码:431-444
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.
关键词generalized Hamiltonian realization feedback dissipative realization first integrals orthogonal decomposition method control-switching method
DOI10.1360/02yf0160
语种英语
WOS研究方向Computer Science
WOS类目Computer Science, Information Systems
WOS记录号WOS:000186499100004
出版者SCIENCE 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/18287
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
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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.
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