On a Time-Optimal Control of Thermal Processes in a Boundary Value Problem
Farrukh Dekhkonov
Abstract
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.
Topics & Concepts
MathematicsOptimal controlValue (mathematics)Boundary value problemControl (management)Applied mathematicsMathematical optimizationCalculus (dental)Algebra over a fieldMathematical analysisPure mathematicsStatisticsComputer scienceMedicineArtificial intelligenceDentistryStability and Controllability of Differential EquationsDifferential Equations and Numerical MethodsDifferential Equations and Boundary Problems