A Problem of Optimal Control of Loading Points and Their Reaction Functions for a Parabolic Equation

The authors considered the problem of optimal control of loading points and the corresponding reaction functions described by a loaded parabolic equation. They obtained optimality conditions for control actions. The authors used the objective functional gradient formulas contained in these conditions in the algorithm for numerically solving the problem of controlling the movement of loading points and corresponding reaction functions based on first-order optimization methods. The paper provides the results of numerical experiments.