FEEDBACK REALIZATION OF HAMILTONIAN SYSTEMS

查看全文 作　　者：[1]CHENGDaizhan;[2]XIZairong

机构地区：[1]LaboratoryofSystemsScience,InstituteofSystemsScience,AcademyofMathematicsandSystemsScience,Chinese,AcademyofSciences,Beijing100080,China;[2]LaboratoryofSystemsScience,InstituteofSystemsScience,AcademyofM

出　　处：《Journal of Systems Science & Complexity》索引2002年第15卷第1期,共8页

基　　金：This research is supported partly by the National Natural Science Foundation of China(No.G59837270)and National 973 Project(No.G 摘　　要：This paper investigates the relationship between state feedback and Hamiltonian realization. First, it is proved that a completely controllable linear system always has a state feedback state equation Hamiltonian realization. Necessary and sufficient conditions are obtained for it to have a Hamiltonian realization with natural output. Then some conditions for an affine nonlinear system to have a Hamiltonian realization are given. For generalized outputs, the conditions of the feedback, keeping Hamiltonian, are discussed. Finally, the admissible feedback controls for generalized Hamiltonian systems are considered. 关键词：哈密顿系统反馈表示辛群辛流形

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FEEDBACK REALIZATION OF HAMILTONIAN SYSTEMS

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