Minimax improvement method for inhomogeneous discrete systems

A class of two-level discrete inhomogeneous systems (DNS) is considered for the case when all homogeneous subsystems of the lower level are not only connected by a common functionality, but also have their own goals. Similar systems are widely used in practice (economics, ecology), and also arise in the process of numerically solving optimization problems when discretizing continuous control systems.
A second-order control improvement method is proposed, for the derivation of which a generalization of sufficient optimality conditions by V. F. Krotov. Illustrative examples are given. (In Russian).