| 引用本文: | 陈阳舟,陈善本,刘家琦.控制理论中的频率定理 (Kalman-Yakubovich引理)*[J].控制理论与应用,1998,15(4):477~488.[点击复制] |
| CHEN Yangzhou,CHEN Shanben,LIU Jiaqi.Frequency Theorem (Kalman-Yakubovich Lemma)in Control Theory[J].Control Theory and Technology,1998,15(4):477~488.[点击复制] |
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| 控制理论中的频率定理 (Kalman-Yakubovich引理)* |
| Frequency Theorem (Kalman-Yakubovich Lemma)in Control Theory |
| 摘要点击 1100 全文点击 434 投稿时间：1997-07-14 修订日期：1998-01-19 |
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| DOI编号 |
| 1998,15(4):477-488 |
| 中文关键词 频率定理(Kalman-Yakubovich引理) 绝对稳定性理论 线性二次型最优控制理论 自适应控制理论 |
| 英文关键词 frequency theorem (Kalman-Yakubovich lemma) absolutely stability linear-quadratic opti-mal control adaptive control |
| 基金项目 |
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| 中文摘要 |
| 频率定理(Kalman-Yakubovich引理)是控制理论中的重要结果之一. 它给出了Lur'e方程和Riccati方程可解的一个充分必要条件. 本文简要叙述了频率定理建立和发展的历史，描述了它在非线性系统绝对稳定性理论，线性二次型最优控制和自适应控制理论中的部分应用. |
| 英文摘要 |
| Frequency theorem (or Kalman-Yakubovich lemma) is one of the most important results in the control theory. It gives a sufficient and necessary condition for the solubility of Lur'e equation and Riccati equation. In this paper， we set forth the history of its establishment and development. We expound its applica-tion in the absolutely stability theory， the optimal control theory and the adaptive control theory. |