关于多维域中退化抛物方程的边界反馈稳定的说明

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2024-07-01 DOI:10.1515/ms-2024-0060

Ionuţ Munteanu

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引用次数: 0

摘要

本文关注的是在有界域 𝓞 ⊂ ℝ d , d ≥ 2 中演化的带 Dirichlet 控制的退化抛物方程的稳定问题。我们根据控制演化方程的线性算子的频谱，应用比例控制设计技术。我们在此设计的稳定反馈控制是线性的，具有有限维结构，从计算角度来看易于管理。

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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A note on boundary feedback stabilization for degenerate parabolic equations in multi-dimensional domains

In this paper, we are concerned with the problem of stabilization of a degenerate parabolic equation with a Dirichlet control, evolving in bounded domain 𝓞 ⊂ ℝ d , d ≥ 2. We apply the proportional control design technique based on the spectrum of the linear operator which governs the evolution equation. The stabilizing feedback control, we design here, is linear, of finite-dimensional structure, easily manageable from the computational point of view.

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来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.