On a problem of synthesis of control of power of the moving sources on heating of a rod

The problem of synthesis of control of power of the moving sources according to the given rules and trajectories under heating the rod is considered. The current values of the controls are determined depending on the values of the temperature of the rod at the points of measurement. Formulas for the components of the gradient of the objective functional are obtained with respect to the feedback parameters and the coordinates of the placement of the measurement points. The formulas can be used in the numerical solution to the test problem using first-order numerical optimization methods.