| 非线性前馈系统递归前步松弛算法 |
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| 引用本文： | 李焕玲,李俊领,解学军.非线性前馈系统递归前步松弛算法[J].菏泽学院学报,2009,31(2). |
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| 作者姓名： | 李焕玲 李俊领 解学军 |
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| 作者单位： | 曲阜师范大学自动化研究所,山东曲阜,273165 |
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| 摘 要： | 松弛构造法构造级联系统的复合李雅普诺夫函数,在求交叉项时,可避免遇到复杂的积分运算,也不用求出系统解的具体形式,而仅需计算一些简单的代数方程就可求出复合李雅普诺夫函数.在已有的含松弛交叉项的复合李雅普诺夫函数构造方法的基础上,利用非线性前馈系统的递归前步方法,把松弛构造法推广到多步,从而使该方法适用于更广的前馈系统.
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| 关 键 词： | 非线性 前馈系统 递归前步 松弛算法 |
Recursive Forwarding Relaxed Algorithm for Nonlinear Feedforward System |
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| LI Huan-ling,LI Jun-ling,XIE Xue-jun.Recursive Forwarding Relaxed Algorithm for Nonlinear Feedforward System[J].Journal of Heze University,2009,31(2). |
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| Authors: | LI Huan-ling LI Jun-ling XIE Xue-jun |
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| Institution: | Institute of Automation;Qufu Normal University;Qufu Shandong 273165;China |
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| Abstract: | The composite Lyapunov function of the cascade systems,established by the Recursive forwarding relaxed algorithm,can avoid complex calculation in seeking the crossing term,and does not need the explicit solution of the systems,it can be only obtained by solving some simple algebraic equations.Based on the construction of the Lyapunov function with relaxed cross-term in existence,by using the basic recursive forwarding,the construction is extended by reapplying it step by step,by augmenting the subsystem,whi... |
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| Keywords: | nonlinear feedforward systems recursive forwarding relaxed algorithm |
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