Exact-approximate boundary controllability of the thermoelastic plate with a curved middle surface

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:451

Article

Yang, Fengyan¹  Bin-Mohsin, Bandar²  Chen, Goong^3,4  Yao, Pengfei¹ 

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China

[2] King Saud Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia

[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[4] Texas A&M Univ Qatar, Sci Program, Doha, Qatar

关键词: Exact-approximate boundary;    controllability;    Thermoelastic plate;    Curved middle surface;    Riemannian geometry;    Multiplier method;   

DOI  :  10.1016/j.jmaa.2017.02.005

来源: Elsevier

【 摘 要 】

Controllability properties of a thermoelastic plate with a curved middle surface are studied. By the Riemannian geometry approach and the multiplier technique, we obtain simultaneously exact controllability of the displacement of the plate and approximate controllability of the temperature, through three boundary controls under verifiable assumptions on the geometry of the middle surface. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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