| 引用本文: | 罗宗虔.求解对偶Riccati方程的矩阵符号函数法[J].控制理论与应用,1992,9(5):551~554.[点击复制] |
| LUO Zongqian.Solving Dual Riccati Equations by Matrix Sign Function Iteration[J].Control Theory and Technology,1992,9(5):551~554.[点击复制] |
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| 求解对偶Riccati方程的矩阵符号函数法 |
| Solving Dual Riccati Equations by Matrix Sign Function Iteration |
| 摘要点击 1530 全文点击 464 投稿时间：1991-02-28 修订日期：1991-10-14 |
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| DOI编号 |
| 1992,9(5):551-554 |
| 中文关键词 矩阵符号函数 Riccati 方程 Hamiltonnian矩阵 |
| 英文关键词 matrix sign function Raccti equation Hamiltonian matrix |
| 基金项目 |
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| 中文摘要 |
| 本文介绍一种求解对偶代数Riccati方程正定（负定）稳定（反稳定）解的方法—矩阵符号函数法，给出这些解的唯一存在的充分必要条件和算法实现。 |
| 英文摘要 |
| This paper presents a method-- matrix sign function iteration for the positive definite (negative definite) stabilizing (anti- stabilizing) solutions of matrix algebraic dual Riccati equations. The necessary and sufficient conditions for existence of these unique solutions are given. The implementation of the algorithm is also given. |