Algorithms for solving the optimal stabilization problem in gaslift process

A problem of optimal stabilization of the injected gas and production rate of oil wells by gas lift method is considered. Under certain natural assumptions, the general problem is reduced to the linear quadratic control problem (LQCP) that allows one to find program controls and trajectories on which optimal regulator is constructed over the whole or a part (by production rate) of phase coordinates. For the specific case, numerical examples are illustrated demonstrating possibility of use of this method.