On Optimal Control Problem for Moving Sources for a Parabolic Equation

R. A. Teymurov

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On Optimal Control Problem for Moving Sources for a Parabolic Equation

机译：抛物线方程的运动源最优控制问题

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摘要

A variational method for solving an optimal control problem for moving sources for systems, their states described by a parabolic-type equation, is considered. The necessary optimality conditions are found in the form of pointwise and integral maximum principles. The theoretical conclusions are illustrated by a numerical example.

机译：考虑了一种变分方法，用于解决系统移动源的最优控制问题，该系统的状态由抛物线型方程描述。必要的最优条件以逐点和积分最大原理的形式找到。数值例子说明了理论结论。

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来源
《Journal of computer & systems sciences international》 |2016年第2期|179-188|共10页
作者
R. A. Teymurov;
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作者单位

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, ul. F. Agaeva 9, Baku, AZ1141 Azerbaijan;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
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2. OPTIMALITY CONDITIONS FOR SEMILINEAR PARABOLIC EQUATIONS WITH CONTROLS IN LEADING TERM [J] . HONGWEI LOU ESAIM . 2011,第4期

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3. Quenching Time Estimates for Semilinear Parabolic Equations Controlled by Two Absorption Sources in Control System [J] . DAI Xiaoqiang, YANG Chao, HUANG Shaobin, 偏微分方程：英文版 . 2020,第001期

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4. Necessary Conditions for Optimal Controls of Semilinear Parabolic Equations with Control in the Leading Term [C] . Hongwei Lou International Conference on Numerical Analysis and Applied Mathematics . 2009

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On Optimal Control Problem for Moving Sources for a Parabolic Equation

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