Abstract
We consider the problem of optimal control of loading points and the corresponding reaction functions described by a loaded parabolic equation. Optimality conditions for control actions are obtained. The objective functional gradient formulas contained in these conditions are used in the algorithm for numerically solving the problem of optimization of loading points and reaction functions based on first-order optimization methods. The results of numerical experiments are provided. Keywords: distributed-parameter system, loaded differential equation, necessary optimality condition, functional gradient.
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