具有部分Dirichlet延迟控制的Schrödinger方程的一致镇定

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

IMA Journal of Mathematical Control and Information Pub Date : 2023-09-05 DOI:10.1093/imamci/dnad022

Xiaorui Wang, Yanfang Li

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引用次数: 0

摘要

本文研究了一类具有部分Dirichlet延迟控制的多维Schrödinger方程的一致镇定问题。控制输入受到时间延迟的影响。本文采用了一种新的反馈控制器进行研究。首先，我们将所考虑的延迟系统重写为传输方程和薛定谔方程的级联系统，并构造一个指数稳定的目标系统。然后，通过定义一个有界可逆线性变换并选择一些适当的核函数，我们建立了闭环系统和目标系统之间的等价性。最后，得到了闭环系统的指数稳定性。

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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Uniform stabilization of a Schrödinger equation with partial Dirichlet delayed control

In this paper, the uniform stabilization of a multi-dimensional Schrödinger equation with partial Dirichlet delayed control is concerned. The control input is suffered from time delay. Herein a new feedback controller is adopted in the investigation. Firstly, we rewrite the delayed system under consideration into a cascaded system of a transport equation and a Schrödinger equation, and construct an exponentially stable target system. Then by defining a bounded invertible linear transformation and choosing some appropriate kernel functions, we establish the equivalence between the closed-loop system and the target system. Finally, the exponential stability of the closed-loop system is obtained.

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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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