| 引用本文: | 忻 欣 冯纯伯.再论（J,J’）-无损分解[J].控制理论与应用,1995,12(1):95~101.[点击复制] |
| XIN Xin and FENG Chunbo.（J,J’）-Lossless Factorization-Revisited[J].Control Theory and Technology,1995,12(1):95~101.[点击复制] |
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| 再论（J,J’）-无损分解 |
| （J,J’）-Lossless Factorization-Revisited |
| 摘要点击 976 全文点击 458 投稿时间：1993-11-09 修订日期：1994-04-06 |
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| DOI编号 |
| 1995,12(1):95-101 |
| 中文关键词 （J,J’）-无损失分解 共轭化 H-控制 Riccati方程 |
| 英文关键词 （J,J’）-lossless factorization conjugation H- control Riccati equation |
| 基金项目 |
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| 中文摘要 |
| 本文在状态空间中对基于共轭化理论的（J,J’）-无损分解问题进行了讨论，在无需G~(s) JG(s)中不存在零极点相消的这一假设，给出RL``函数具有（J,J’）-无损分解的由两个Riccati方程所表征的充要条件。本文还通过一个H-控制问题求解的例子，验证了上述结果。 |
| 英文摘要 |
| The state-space form derivation of the （J,J’）-lossless factorization for a RL``function based on the theory of conjugation is revisited in this paper. Without a usual constraint on G(s) that there is no pole-zero cancellation occuring in the product of G~(s) JG(s), a necessary and sufficient condition is proposed via two Riccati equations. As an example, a standard H- control problem is solved to verify the above results. |
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