Two options of models of mechanisms of an autonomous control being intended for optimization of the current value of criterion function are offered. The feature of models is that the equations of dynamics of object of control aren't used in them. Information about the object is limited to the values of the parameters of control and objective function at the moments of time, which correspond to the current state of object and close to it. These mechanisms assume existence of extremum for the function of criterion, and the nonlinear nature of connections and limitations of the object of control. Conditions for sustainable growth of economic systems with diverse mechanisms of autonomous control are considered.