Controllability to trajectories for some parabolic systems of three and two equations by one control force | Zendy

Assia Benabdallah | Zendy; Michel Cristofol | Zendy; Patricia Gaitan | Zendy; Luz de Teresa | Zendy

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Controllability to trajectories for some parabolic systems of three and two equations by one control force

Author(s) -

Assia Benabdallah,

Michel Cristofol,

Patricia Gaitan,

Luz de Teresa

Publication year - 2013

Publication title -

mathematical control and related fields

Language(s) - English

Resource type - Journals

eISSN - 2156-8472

pISSN - 2156-8499

DOI - 10.3934/mcrf.2014.4.17

Subject(s) - controllability , parabolic partial differential equation , mathematics , stability (learning theory) , class (philosophy) , mathematical analysis , inverse , order (exchange) , partial differential equation , geometry , computer science , finance , machine learning , artificial intelligence , economics

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.

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