无界双线性系统的最优控制问题及其应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-09-06 DOI:10.1080/23307706.2023.2254300

Soufiane Yahyaoui, M. Ouzahra

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引用次数: 0

摘要

在本文中，我们将研究具有（p，q）-可容许控制算子的无界双线性系统的最优控制问题。我们将首先研究具有无约束或约束端点的有限时间范围的情况。该结果进一步应用于建立有限时间范围内的最优控制。最后，我们求解了传输方程的双线性最优控制。然后我们考虑分数扩散方程，通过最优时变反馈控制证明了该方程的强稳定性。

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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Optimal control problem for unbounded bilinear systems and applications

In this paper, we will investigate the optimal control problem for unbounded bilinear systems, with ( p , q ) -admissible control operators. We will ﬁrst study the case of ﬁnite time-horizon with unconstrained or constrained endpoint. This result is further applied to build the optimal control for inﬁnite time horizon. Finally, we solve the bilinear optimal control for the transport equation. Then we consider the fractional diffusion equation, for which we prove the strong stabilisation by an optimal time-varying feedback control.

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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.