Title :
Optimal control of a heat equation with convective boundary condition
Author :
Lenhart, Suzanne ; Wilson, D.G.
Author_Institution :
Dept. of Math., Tennessee Univ., Knoxville, TN, USA
Abstract :
The authors consider a problem of controlling the solution of the heat equation with the convective boundary condition, taking the heat transfer coefficient as a control parameter. The existence and uniqueness of the solution of the optimality system are established, and thus the unique optimal control is determined in terms of the solution of the optimality system
Keywords :
boundary layers; convection; optimal control; convection; convective boundary condition; heat equation; heat transfer; optimal control; optimality system; Boundary conditions; Cost function; Equations; Heat engines; Heat transfer; Mathematics; Optimal control; Physics; Temperature control; Temperature distribution;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203563
