引用本文: | 张新建,卢世荣.一类多变量线性系统的极小能控制的样条函数解法[J].控制理论与应用,2002,19(1):61~64.[点击复制] |
ZHANG Xinjian,LU Shirong.A Spline Method for Computing a Class of Minimum-Energy Control for Multivariable Linear Systems[J].Control Theory and Technology,2002,19(1):61~64.[点击复制] |
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一类多变量线性系统的极小能控制的样条函数解法 |
A Spline Method for Computing a Class of Minimum-Energy Control for Multivariable Linear Systems |
摘要点击 1403 全文点击 1050 投稿时间:1999-04-26 修订日期:2000-12-01 |
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DOI编号 10.7641/j.issn.1000-8152.2002.1.012 |
2002,19(1):61-64 |
中文关键词 微分算子阵 极小能控制 向量值Lg样条 递推公式 |
英文关键词 differential operator matrices minimum_energy control vector_valued Lg_splines recursive formulas |
基金项目 |
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中文摘要 |
考察由一类微分算子阵描述的多变量线性系统的极小能最优控制问题. 建立了这类极小能最优控制与向量值Lg样条函数的对应关系, 给出了求解最优解的简洁的递推公式, 并进行了实例计算. |
英文摘要 |
The problem of minimum_energy optimal control for multivariable linear systems determined by a class of differential operator matrixes is investigated. The correspondence relation between the minimum_energy optimal control and vector_valued Lg_splines is established. The simple recursive formulas for the optimal solutions are obtained. Else, we give an example. |