Degenerate problems of optimal control. III

Consideration was given to the methods of studying the degenerate problems of optimal control from the standpoint of the Krotov general sufficient optimality conditions: the method of multiple maxima as a special way of defining the Krotov function, generalized Bellman equations and their counterparts for estimation of the attainability sets of the systems with unlimited controls. Indicated was a class of problems economic dynamics and stable development for which the method of multiple maxima is most efficient. Solution with allowance for the innovation processes for one of the new problems of this kind was given by way of example. The possibilities of using these methods to seek approximate globally optimal solutions were discussed.

Presented by the member of Editorial Board: E. Ya. Rubinovich