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.
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.
作者
吴克凡
WU Ke-fan(School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)
出处
《数学杂志》
2019年第3期357-369,共13页
Journal of Mathematics
基金
Supported by the National Natural Science Foundation of China(11371285
11771344)
关键词
精确同步
充要条件
常微分系统
数值估计
exact synchronization
necessary and sufficient conditions
ordinary differential system
numerical approximation
