引用本文: | 王玉振,程代展.广义哈密顿实现及其在基于能量的准Lyapunov函数构造中的应用[J].控制理论与应用,2002,19(4):511~515.[点击复制] |
WANG Yu-zhen,CHENG Dai-zhan.Generalized Hamiltonian realization and its application in construction of energy-based Lyapunov candidates[J].Control Theory and Technology,2002,19(4):511~515.[点击复制] |
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广义哈密顿实现及其在基于能量的准Lyapunov函数构造中的应用 |
Generalized Hamiltonian realization and its application in construction of energy-based Lyapunov candidates |
摘要点击 1828 全文点击 1214 投稿时间:2000-08-01 修订日期:2001-05-09 |
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DOI编号 10.7641/j.issn.1000-8152.2002.4.005 |
2002,19(4):511-515 |
中文关键词 广义Hamilton实现 受控耗散Hamilton系统 准Lyapunov函数 |
英文关键词 generalized Hamiltonian realization forced dissipative Hamiltonian systems Lyapunov candidate |
基金项目 国家自然科学基金(G59837270,G69774008); 973项目(G1998020308)资助项目. |
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中文摘要 |
首先研究一般非线性系统的Hamilton实现问题, 给出了两个实现的充分条件; 然后应用所得到的结果研究广义受控耗散Hamilton系统的基于能量的准Lyapunov函数构造问题, 给出若干能通过改造Hamilton函数得到准Lyapunov函数的充分条件. |
英文摘要 |
This paper deals with the problem of generalized Hamiltonian realization of nonlinear systems and proposes several sufficient conditions for the realization. As an application, this paper studies how to modify total energy functions (Hamiltonian functions) of forced Hamiltonian systems to generate the systems' Lyapunov candidates. |