| 引用本文: | 李明爱, 乔俊飞, 阮晓钢.用改进的差分式Hopfield网络实现线性二次型最优控制[J].控制理论与应用,2005,22(5):837~842.[点击复制] |
| LI Ming-ai,QIAO Jun-fei,RUAN Xiao-gang.Linear quadratic optimal control with a modified difference Hopfield neural network[J].Control Theory and Technology,2005,22(5):837~842.[点击复制] |
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| 用改进的差分式Hopfield网络实现线性二次型最优控制 |
| Linear quadratic optimal control with a modified difference Hopfield neural network |
| 摘要点击 1584 全文点击 1324 投稿时间：2004-09-22 修订日期：2005-06-15 |
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| DOI编号 10.7641/j.issn.1000-8152.2005.5.034 |
| 2005,22(5):837-842 |
| 中文关键词 多变量时变系统 线性二次型最优控制问题 动态优化 差分式Hopfield网络 |
| 英文关键词 multi-varying time-varying system linear quadratic optimal control problem dynamic optimization difference Hopfield neural network |
| 基金项目 国家自然科学基金资助项目(60375017);国家自然科学基金与宝钢集团联合资助项目(50274003);教育部科学技术研究重点资助项目(203002);北京市教委资助项目(KM200510005026) |
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| 中文摘要 |
| 为解决差分式Hopfield网络能量函数的局部极小问题,本文对之改进得到一种具有迭代学习功能的线性差分式Hopfield网络.理论分析表明,该网络具有稳定性,且稳定状态使其能量函数达到唯一极小值.基于线性差分式Hopfield网络稳定性与其能量函数收敛特性的关系,本文将该网络用于求解多变量时变系统的线性二次型最优控制问题.网络的理论设计方法表明,网络的稳态输出就是欲求的最优控制向量.数字仿真取得了与理论分析一致的实验结果. |
| 英文摘要 |
| A linear difference Hopfield neural network which has the function of iterative learning is proposed to overcome the local minimum problem of its energy function.Theoretical analysis shows that the linear Hopfield neural network is stable,and the stable state makes its energy function reach its unique minimum.On the basis of the relation between the stability of the linear difference Hopfield network and its energy function's convergence,the linear Hopfield network is applied to solve linear quadratic optimization control problems for multivariable time-varying systems.The theoretical design method of linear Hopfield neural network shows that its stable outputs are the desired optimal control inputs.The simulation results are in accord with theoretical analysis. |