| 无限维离散不可控系统二次判据问题讨论 |
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| 引用本文： | 黄献青,瞿坦,陈锦江.无限维离散不可控系统二次判据问题讨论[J].华中科技大学学报(自然科学版),1994(8). |
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| 作者姓名： | 黄献青 瞿坦 陈锦江 |
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| 作者单位： | 华中理工大学自动控制工程系 |
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| 摘 要： | 通过构造一个范数，并利用动态规划原理对无限维离散不可控系统二次判据问题进行了讨论，得到了最优反馈控制的存在唯一性，以及自治情形下的Ｒｉｃｃａｔｉ方程。
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| 关 键 词： | 无限维分布参数系统 二次判据问题 不可控系统 动态规划原理 |
On the LQ Problen of an Uncontrollable Discrete Infinite-Dimensional System |
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| Huang XianqingDept.of Auto. Contr.Engin.,H. U. S.T.,wuhan ,China., Qu Tan, Chen Jinjiang.On the LQ Problen of an Uncontrollable Discrete Infinite-Dimensional System[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1994(8). |
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| Authors: | Huang XianqingDeptof Auto ContrEngin H U ST wuhan China Qu Tan Chen Jinjiang |
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| Institution: | Huang XianqingDept.of Auto. Contr.Engin.,H. U. S.T.,wuhan 430074,China., Qu Tan, Chen Jinjiang |
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| Abstract: | A new norm containing an initial value term is introduced and the LQ problem of an un-controllable discrete infinite-dimensional system is discussed.By the functional method andthe principle of dynamic programming,the existence and uniqueness of optimal feedback con-trol have been obtained.the traditional results concerning the LQ problem for either the infi-nite-or finite-dimensional systems are extended.The Riccati equation for an autonomoussvstem is also discussed. |
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| Keywords: | infinite-dimensional linear system LQ problem uncontrollable system dy- namic programming |
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