一般动态边界条件下热方程的Stackelberg-Nash零可控性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-09-06 DOI:10.3934/eect.2021044

I. Boutaayamou, L. Maniar, O. Oukdach

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引用次数: 4

摘要

研究了具有动态边界条件和漂移项的各向异性热方程的层次控制问题。我们使用Stackelberg-Nash策略，一个领导者和两个追随者。对于每个固定的领导者，我们找到了一个纳什均衡，对应于一个双目标最优控制问题。然后，通过一些新的Carleman估计，证明了零可控性的结果。

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Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions

This paper deals with the hierarchical control of the anisotropic heat equation with dynamic boundary conditions and drift terms. We use the Stackelberg-Nash strategy with one leader and two followers. To each fixed leader, we find a Nash equilibrium corresponding to a bi-objective optimal control problem for the followers. Then, by some new Carleman estimates, we prove a null controllability result.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.