The problem of multiobjective synthesis of optimal control is considered. It is necessary to find the control as a function of problem space coordinates. Initial values of the control object are in closed bounded domain. Functionals of control quality include multiple integrals over domain of initial values. To solve the problem of multiobjective synthesis the numerical method was developed. This method is based on genetic algorithm and special data structure, network operator. The numerical method allows automatic search of mathematical equations that describe dependence of control from the problem space coordinates. The solution of the synthesis problem for space vehicle descent with indeterminate initial conditions at entry in the dense layers of atmosphere is given.