ALGORITHM TO SOLUTION OF THE OPTIMIZATION PROBLEM WITH PERIODIC CONDITION AND BOUNDARY CONTROL

In the paper the optimization problem with periodic condition and boundary control is considered. It is assumed that object s motion is described by the system of ordinary nonlinear differential equations. Finding the optimal solution using the method of quasilinearization the given nonlinear problem is reduced to the linear quadratic boundary control problem. For its solution the corresponding Euler-Lagrange equation with linear boundary conditions is used. Results are illustrated on the example from oil industry which shows adequacy of the mathematical model with practice.