The Null Controllability of Transmission Wave-Schrödinger System with a Boundary Control

被引：0

作者：

Guo, Ya-Ping ^{[1
]}

Wang, Jun-Min ^{[2
]}

Wang, Jing ^{[3
]}

Zhao, Dong-Xia ^{[4
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan, Shanxi, Peoples R China

[2] Beijing Inst Technol, Sch Math & Stat, Key Lab Math Theory & Computat Informat Secur, Beijing, Peoples R China

[3] Tianjin Normal Univ, Sch Math Sci, Tianjin, Peoples R China

[4] North Univ China, Dept Math, Taiyuan, Peoples R China

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2024年 / 30卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Transmission system; Null controllability; Boundary control; POLYNOMIAL DECAY; WAVE; STABILIZATION; OBSERVABILITY; SCHRODINGER; EQUATIONS;

D O I：

10.1007/s10883-024-09693-1

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is devoted to investigate the null controllability of the transmission wave-Schr & ouml;dinger system with only one boundary control. The domain of the system consists of two bounded intervals, where the wave and Schr & ouml;dinger equations evolve, respectively. Two kinds of transmission conditions are considered: one is the simple continuous transmission, and by using the HUM method, the null controllability of the system is derived in the Hilbert space when a boundary control is added only on the wave equation. The other case is that the Schr & ouml;dinger state is associated with the velocity of the wave, and we establish the null controllability of the system. It is found that the second space has more regularity.

引用

页数：22

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