| 引用本文: | 徐跃良，李 治.平方可积函数解析分解的构造性证明[J].控制理论与应用,2004,21(3):379~385.[点击复制] |
| XU Yue-liang, LI Zhi.Constructive proof about quadratic integrable function decomposition into analytic function[J].Control Theory and Technology,2004,21(3):379~385.[点击复制] |
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| 平方可积函数解析分解的构造性证明 |
| Constructive proof about quadratic integrable function decomposition into analytic function |
| 摘要点击 1392 全文点击 844 投稿时间：2002-02-06 修订日期：2003-09-11 |
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| DOI编号 |
| 2004,21(3):379-385 |
| 中文关键词 解析 调和函数 Lebesgue可积函数 |
| 英文关键词 analytic harmonic function Lebesgue integrable |
| 基金项目 |
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| 中文摘要 |
| 在H∞控制理论及应用其理论进行设计中,经常用到结论:在虚轴上定义的平方可积函数分别与在开左、右半平面解析且一致平方可积函数的相互对应关系.但由于此结果的证明较多地用到不同学科的数学结论,故很难找到其详尽的证明.应用构造性方法,找出了它们间相互对应的数学表达式,并详细证明了这个表达式的准确性,证明了这种关系是一一对应的. |
| 英文摘要 |
| In H-infinity control theory and control system design with the theory,the quadratic integration function defined on imaginary axis is often decomposed into analytic functions on right half-plane and left half-plane respectively.However,there is no strict proof because of the conclusion using many mathematic theories in different subject.A one-to-one connection among these functions is established and proved in detail. |