Geodesic
Control with point observation for a parabolic problem with convection
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 80 (2019) no. 2, pp. 259-274.

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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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I. V. Astashova; D. A. Lashin; A. V. Filinovskii. Control with point observation for a parabolic problem with convection. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 80 (2019) no. 2, pp. 259-274. http://geodesic.mathdoc.fr/item/MMO_2019_80_2_a7/

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