The Synthesis of Optimal Control System by the Network Operator Method

The problem of synthesis of optimal control system is considered. It is proved that generally it is necessary to search for control as function of not only coordinates of space of conditions, but of velocities of changes of these coordinates. To solve the problem of synthesis it is offered to use the network operator that allows to present mathematical expression of functional dependence in the form of the directed graph. Properties of the network operator are given. For the search of optimal functional dependence on the set of network operators the genetic algorithm is used. The practical example of the solution of a problem of synthesis is given.