若干最小时间控制问题的分析与数值求解

IF 1.3 Q2 MATHEMATICS, APPLIED

Results in Applied Mathematics Pub Date : 2025-05-01 DOI:10.1016/j.rinam.2025.100582

Enrique Fernández-Cara , Irene Marín Gayte

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引用次数: 0

摘要

本文对线性和非线性微分方程的最小时间控制问题进行了理论和数值分析。我们首先研究有关线性和非线性ode的简单案例。然后，我们处理热方程。在所有这些情况下，我们分析了解的存在性，推导了最优性结果，并给出了几种计算最优控制的算法。最后，我们用几个数值实验来说明结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analysis and numerical solution of some minimal time control problems

This paper is devoted to the theoretical and numerical analysis of some minimal time control problems associated to linear and nonlinear differential equations. We start by studying simple cases concerning linear and nonlinear ODEs. Then, we deal with the heat equation. In all these situations, we analyze the existence of solutions, we deduce optimality results and we present several algorithms for the computation of optimal controls. Finally, we illustrate the results with several numerical experiments.

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来源期刊

Results in Applied Mathematics Mathematics-Applied Mathematics

CiteScore

3.20

自引率

10.00%

发文量

审稿时长

23 days