Abstract.

In the paper the optimization problem with periodic condition and boundary con- trol is considered. It is assumed that objects motion is described by the system of ordinary nonlinear differential equations. Finding the optimal solution using the method of quasilineariza- tion 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.

Keywords:

periodic conditions, quasilinearization, Euler-Lagrange equation, gas-lift.