Optimal Control of Nonstationary Thermal Process with Axial Symmetry

摘要

The article is devoted to the linear-quadratic problem of optimal control of nonstationary thermal process with axial symmetry. To find the solution of the problem it is proposed to use the Lagrange multipliers method. In this way, the necessary conditions for optimality are obtained. On the basis of these conditions the integrodifferential Riccati equation is derived, its solving has made it possible to write down explicit formula for the calculation of the optimal control.