Generalized Optimality Criteria in Optimum Control Problems

The paper considers the criteria of optimality based on minimization of functionals of a kind of function from some integral Lagrangian functionals in non-classical variant of optimal control problem. The method of reducing this problem to the optimal control problem for an ordinary integral functional solved by the known method is discussed. The theory cited is applied to finding optimal (in the sense of generalized criterium) control of the simplest second order object.