TY  - JOUR
ID  - Astashova2019
LB  - Astashova2019
AU  - Astashova, I. V.
AU  - Filinovskiy, A. V.
TI  - On properties of minimizers of a control problem with time-distributed functional related to parabolic equations
ST  - On properties of minimizers of a control problem with time-distributed functional related to parabolic equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2019
VL  - 39
IS  - 5
SP  - 595
EP  - 609
DO  - https://doi.org/10.7494/OpMath.2019.39.5.595
UR  - https://doi.org/10.7494/OpMath.2019.39.5.595
AB  - We consider a control problem given by a mathematical model of the temperature control in industrial hothouses. The model is based on one-dimensional parabolic equations with variable coefficients. The optimal control is defined as a minimizer of a quadratic cost functional. We describe qualitative properties of this minimizer, study the structure of the set of accessible temperature functions, and prove the dense controllability for some set of control functions.
KW  - parabolic equation
KW  - extremal problem
KW  - quadratic cost functional
KW  - minimizer
KW  - exact controllability
KW  - dense controllability
SN  - 1232-9274
ER  -