Controllability and Exact Controllability in a Problem of Heat Transfer with Convection and Time Distributed Functional

Controllability and Exact Controllability in a Problem of Heat Transfer with Convection and Time Distributed Functional

We consider a temperature control problem based on the heat equation with a convective term and a quadratic quality functional. We examine the structure of the set of attainable functions and establish controllability of the problem on various sets of admissible controls.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-01, Vol.244 (2), p.148-157
Hauptverfasser: Astashova, I. V., Filinovskiy, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We consider a temperature control problem based on the heat equation with a convective term and a quadratic quality functional. We examine the structure of the set of attainable functions and establish controllability of the problem on various sets of admissible controls.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04610-5