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In the known methods of symbolical regression by search of the solution with the help of a genetic algorithm, there is a problem of crossover. Genetic programming performs a crossover only in certainpoints. Grammatical evolution often corrects a code after a crossover. Other methods of symbolical regression use excess elements in a code for elimination of this shortcoming. The work presents a new method of symbolic regression on base of binary computing trees. The method has no problems with a crossover. Method use a coding in the form of a set of integer numbers like analytic programming. The work describes the new method and some examples of codding for mathematical expressions.

The paper focuses on the problem of control system synthesis and a numerical method of the network operator is proposed to search a solution. Apart from a well-known approach when the stated control synthesis problem is solved directly by the method of network operator considering given criteria and terminal conditions, the present paper describes a two-stage synthesis. The first stage is supposed to solve numerically a set of optimal control tasks for different initial values from some given space. The second stage makes an approximation of the previously received optimal trajectories by means of the network operator. An example illustrates the two-stage synthesis of a control system for a spaceship descent to the Moon

The paper focuses on the problem of control system synthesis and a numerical method of the network operator is proposed to search a solution. Apart from a well-known approach when the stated control synthesis problem is solved directly by the method of network operator considering given criteria and terminal conditions, the present paper describes a two-stage synthesis. The first stage is supposed to solve numerically a set of optimal control tasks for different initial values from some given space. The second stage makes an approximation of the previously received optimal trajectories by means of the network operator. An example illustrates the two-stage synthesis of a control system for a spaceship descent to the Moon.

The problem of synthesis of control system is considered. It is shown that classical statement of the problem does not provide satisfactory quality of control. The corrected statement of the problem where solution guaranties high quality of control for any initial conditions is proposed.

The method of fuzzy control system parameters synthesis and adjustment is given. The method uses genetic programming elements. Fuzzy regulator is included in direct control circuit of nonlinear dynamic object.