| 最小能量控制与Lg样条函数 |
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| 引用本文： | 张新建.最小能量控制与Lg样条函数[J].应用数学,1991(4). |
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| 作者姓名： | 张新建 |
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| 作者单位： | 国防科技大学 长沙 |
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| 摘 要： | 本文考察了一类带有泛函约束的线性系统的最小能量控制问题与Lg样条插值函数的对应关系.得到了求解最优控制——样条函数的递推算法;并建立了最优控制问题解法Ⅱ,指出文献1]的解法可作为它的特例.
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| 关 键 词： | 插值样条 最小能量控制 递推算法 基底 |
Minimum Energy Control and Lg-splines |
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| Zhang Xinjian.Minimum Energy Control and Lg-splines[J].Mathematica Applicata,1991(4). |
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| Authors: | Zhang Xinjian |
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| Institution: | National University of Defence Technology 410073 |
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| Abstract: | In this paper, a correspondence is considered between the Lg-spline interpolation and the problem of minimum energy control of linear systems with linear functional constraints on the output. By using the projection theorem, an efficient recursive algorithm for the spline-control is given. As a generalization of the formula in paper 1], a general method for computing the minimum energy control is shown. |
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| Keywords: | Spline interpolation Minimum energy control Recursive algorithms Basis |
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