On 25.11.2015 at the seminar of “Differential Equations”, leading research associate, PhD in mathematics Rafig Teymurov will give a talk on “Solving the problems of optimal control of moving sources for a class of parabolic type equations”.
The paper deals with optimal control of thermal sources for the operated systems which state is described by a parabolic type equation and the systems of ordinary differential equations. Existence and uniqueness of optimal control problem is justified, Frechet differentiability of the functional is proved, necessary and sufficient conditions in the form of maximum principle are determined by obtaining formula for a gradient, algorithms for numerical solution of the problems are constructed. The obtained results may be applied in optimal control of interlayer combustion in oil production processes.