Exact controllability of wave equations with locally distributed control in non-cylindrical domain

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:482

Article

Cui, Lizhi¹ 

[1] Jilin Univ Finance & Econ, Coll Appl Math, Changchun 130117, Jilin, Peoples R China

关键词: Locally distributed control;    Wave equation;    Non-cylindrical domain;    Adjoint system;   

DOI  :  10.1016/j.jmaa.2019.123532

来源: Elsevier

【 摘 要 】

Exact controllability of a one-dimensional wave equation with locally distributed control in non-cylindrical domain is considered. This equation characterizes the motion of a string with a fixed endpoint and the other moving one. If the adjoint system is observable, this establishes exact controllability of the original system. The adjoint system is observable by multiplier method. Therefore we obtain exact controllability of this equation, when the speed of the moving endpoint is less than wave speed. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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