Hierarchical control problem for the heat equation with dynamic boundary conditions

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2024-03-24 DOI:10.1093/imamci/dnae009

Omar Oukdach, Idriss Boutaayamou, Lahcen Maniar

引用次数: 0

Abstract

This paper deals with a hierarchical control problem for the heat equation with dynamic boundary conditions. The main goal consists of letting the state near from a prescribed target in a fixed observation region. The secondary objective is the null controllability. In other words, we reverse the roles of the leader and the follower addressed in the recent article. For this purpose, we combine some appropriate Carleman estimates and the Stackelberg strategy. We also extend our study for hierarchical-biobjective problems by applying the Stackelberg–Pareto strategy.

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具有动态边界条件的热方程的分层控制问题

本文讨论的是具有动态边界条件的热方程的分层控制问题。主要目标是让状态接近固定观测区域内的规定目标。次要目标是空可控性。换句话说，我们颠倒了最近文章中提到的领导者和追随者的角色。为此，我们结合了一些适当的卡勒曼估计和斯塔克尔伯格策略。此外，我们还通过应用斯塔克尔伯格-帕雷托策略，扩展了对分层双目标问题的研究。

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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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

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