CONTROLLABILITY TO TRAJECTORIES FOR SOME PARABOLIC SYSTEMS OF THREE AND TWO EQUATIONS BY ONE CONTROL FORCE

被引：13

作者：

Benabdallah, Assia ^{[1
]}

Cristofol, Michel ^{[1
]}

Gaitan, Patricia ^{[2
]}

De Teresa, Luz ^{[3
]}

机构：

[1] Aix Marseille Univ, LATP UMR 7353, Marseille, France

[2] Aix Marseille Univ, CPT UMR 7332, Marseille, France

[3] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2014年 / 4卷 / 01期

关键词：

Control; observability; Carleman estimates; reaction-diffusion systems; inverse problems; NULL-CONTROLLABILITY; INSENSITIZING CONTROLS; INVERSE PROBLEM; COEFFICIENTS; STATE;

D O I：

10.3934/mcrf.2014.4.17

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a controllability result for a class of linear parabolic systems of 3 equations. To prove the result, we establish a global Carleman estimate for the solutions of a system of 2 coupled parabolic equations with first order terms. We also obtain stability results for the identification of coefficients of the systems are also obtained.

引用

页码：17 / 44

页数：28

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