The control synthesis problem for a complex object of large dimension is considered. In the task, it is necessary to stabilize the object relative to the state space point. To automate the solution of synthesis problem, it is proposed to use the network operator method. Description of the network operator method is presented briefly. As an example, the synthesis of a quad-rotor helicopter stabilization system is considered. At the synthesis a decomposing technology of the mathematical model of control object is used to reduce the dimension of the system. Firstly, the synthesis of control system for angular movement is made. Then, a control system for spatial stabilization is synthesized. As a result, mathematical expressions for describing of the quad-rotor helicopter control system are found by the network operator method. © 2021, Springer Nature Switzerland AG.