Stabilization of nonautonomous linear parabolic-like equations: Oblique projections versus Riccati feedbacks

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-03-18 DOI:10.3934/eect.2022045

S. Rodrigues

引用次数: 3

Abstract

An oblique projections based feedback stabilizability result in the literature is extended to a larger class of reaction-convection terms. A discussion is presented including a comparison between explicit oblique projections based feedback controls and Riccati based feedback controls. Advantages and limitations of each type of feedback are addressed as well as their finite-elements implementation. Results of numerical simulations are presented comparing their stabilizing performances for the case of time-periodic dynamics. Estimates are presented on the convergence rate of a proposed iterative algorithm to compute the time-periodic Riccati feedback.

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非自治线性类抛物方程的镇定:斜投影与Riccati反馈

在文献中基于反馈的斜投影稳定性结果被扩展到更大的一类反应对流项。讨论了基于显式斜投影的反馈控制和基于Riccati的反馈控制之间的比较。讨论了每种反馈的优点和局限性以及它们的有限元实现。数值模拟结果比较了它们在时间周期动态情况下的稳定性能。给出了一种计算时间周期Riccati反馈的迭代算法的收敛速度估计。

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

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.