Abstract
In this work, a class of optimal control problems for a rod (plate) heating process with feedback, when the incoming information about the state of the process is continuously received only from its individual points, at which some temperature sensors are placed, is investigated. The heating process itself takes place in a stove at the expense of controlling the temperature inside the stove. The mathematical model of the controlled process is in both cases described by a punctual loaded parabolic type equation. In the work, we derive formulae for the gradient of the functional. Algorithms of numerical solutions to the considered problems are proposed
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