Optimality conditions of a problem involving the control of a heat-transmission process
Abstract
Necessary conditions of optimality in the form of the Pontryagin maximum principle are obtained for the generalized Stefan problem of heat conduction. A finite-difference approach is used to construct the optimal control.
- Publication:
-
Analytical, Numerical and Analog Methods in Problems of Heat Conductivity
- Pub Date:
- 1977
- Bibcode:
- 1977anam.proc..210K
- Keywords:
-
- Heat Transmission;
- Maximum Principle;
- Optimal Control;
- Temperature Control;
- Control Theory;
- Differential Equations;
- Functionals;
- Pontryagin Principle;
- Fluid Mechanics and Heat Transfer