Irina Astashova, Alexey Filinovskiy, "On the Controllability Problem with Pointwise Observation for the Parabolic Equation with Free Convection Term," WSEAS Transactions on Systems and Control, vol. 14, pp. 224-231, 2019, DOI:
Irina Astashova, Alexey Filinovskiy. On the Controllability Problem with Pointwise Observation for the Parabolic Equation with Free Convection Term.
WSEAS Transactions on Systems and Control. 2019;14:224-231.
WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 14, 2019
On the Controllability Problem with Pointwise Observation for the Parabolic Equation with Free Convection Term
Authors: ,
Abstract: A mathematical model of the temperature control in industrial greenhouse is based on a one-dimensional parabolic equation with a free convection term and a quadratic cost functional with the point observation. The existence and uniqueness of a control function from some convex set of functions are proved and the structure of the set of accessible temperature functions is studied. We also prove the dense controllability of the problem for some set of control functions.
Keywords:
Parabolic equation, free convection, pointwise observation, extremal problem, exact controllability, dense controllability
Pages: 224-231 WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 14, 2019, Art. #29 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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