Attractor property for terminal manifold in control synthesis problem

General statement of control synthesis problem is considered. The problem is to find control as a function depending on the state space vector. After substituting to the system of ordinary differential equations, the function should provide the property of attractor to a terminal manifold. Symbolic regression methods for numerical solution of the problem are proposed.A numerical criterion of the attractor is set. Several examples of problem solution by the network operator method are presented. © Published under licence by IOP Publishing Ltd.