Lobachevskii Journal of Mathematics · 2022 · 17 citations · 9 references
EngineeringMechanical EngineeringHeat TransferProcess ControlThermodynamicsBoundary ConditionsBoundary-value ProblemsControl TheoryHeat Transfer ModelingOptimal ControlStochastic ControlBoundary ProblemBoundary Value Problems For Stochastic Differential EquationsFinite-time Optimal ControlHeat Transfer Boundary ConditionsOptimal Control FormulationOptimal Control Of Thermal SystemsTime-optimal Control
The boundary control problem for heat equation in a right rectangle domain is considered. The control parameter is equal to the temperature on some part of the border of the considered domain. The estimate of a minimal time for achieving the given average temperature over some subdomain is found.
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Equations of Mathematical Physics
Vidar Thomée, V. S. Vladimirov · Mathematics of Computation · 1972 · 1.1K citations