Control with point observation for a parabolic problem with convection

Astashova, I.; D. A. Lashin; A. V. Filinovskii

doi:10.1090/mosc/296

Control with point observation for a parabolic problem with convection
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by I. V. Astashova, D. A. Lashin and A. V. Filinovskii
Translated by: A. V. Domrin

Trans. Moscow Math. Soc. 2019, 221-234

DOI: https://doi.org/10.1090/mosc/296

Published electronically: April 1, 2020

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Abstract:

We consider a control problem related to the mathematical model of temperature control in industrial hothouses. It is based on a one-dimensional non-selfadjoint parabolic equation with variable coefficients. Defining an optimal control as a minimizing function for a quadratic functional, we study its qualitative properties and the structure of the set of admissible temperature functions. We prove controllability for a certain family of control functions.

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