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. 
@article{MMO_2019_80_2_a7,
     author = {I. V. Astashova and D. A. Lashin and A. V. Filinovskii},
     title = {Control with point observation for a parabolic problem with convection},
     journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {259--274},
     publisher = {mathdoc},
     volume = {80},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMO_2019_80_2_a7/}
}
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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/