Synthesis of optimal systems in the class of bounded inertial controls

A method for realization of optimal feedback controls in the optimization p roblem for dynamic systems in the class of bounded controls with bounded de rivatives is described. This realization is performed by an optimal regulat or that produces controls in a real time regime that are bounded with respe ct to their values and derivatives in each specific process of functioning of the system. The algorithm of work of the optimal regulator is based on s tepwise refinements of special linear programming problems. The results are illustrated by examining a control system of the fourth order and are comp ared with the case of bounded inertia-free controls.