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| 摘要: |
| 本文研究了一类精确同步的线性常微分系统的最优控制问题.运用变分法以及Hahn-Banach定理，得到了最优控制的充要条件，给出其数值估计，并举例验证算法的有效性. |
| 关键词: 精确同步 充要条件 常微分系统 数值估计 |
| DOI： |
| 分类号:O232 |
| 基金项目:Supported by the National Natural Science Foundation of China (11371285; 11771344). |
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| OPTIMAL CONTROL PROBLEM FOR EXACT SYNCHRONIZATION OF ORDINARY DIFFERENTIAL SYSTEMS |
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WU Ke-fan
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| Abstract: |
| In this paper, we study a kind of optimal problems related to the exact synchronization for a controlled linear ordinary differential system. We establish a necessary and sufficient condition for the optimal control. Moreover, we give the numerical approximation of the optimal control and present some examples to test the effectiveness of the algorithm. |
| Key words: exact synchronization necessary and sufficient conditions ordinary differential system numerical approximation |
