Null controllability of a pseudo-parabolic equation with moving control

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:418

Article

Tao, Qiang¹  Gao, Hang²  Yao, Zheng-an³ 

[1] Shenzhen Univ, Coll Math & Computat Sci, Shenzhen 518060, Peoples R China

[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[3] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

关键词: Pseudo-parabolic equation;    Null controllability;    Moving control;    Moment problem;   

DOI  :  10.1016/j.jmaa.2014.04.038

来源: Elsevier

【 摘 要 】

In this paper, we study the internal controllability of the pseudo-parabolic equation on the one-dimensional torus. Our control function is acting on a moving small interval with a constant velocity. With this moving distributed control, we obtain the system is null controllable for given data with certain regularity. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free