Sufficient optimality conditions in hierarchical models of nonuniform systems

We give a brief survey of the studies developed on the basis of general Krotov’s sufficient optimality conditions in an important research direction related to nonuniform systems. We construct a two‐layered model of the network structure. The upper level of this model is an abstract network of operators; the lower level contains continuous dynamical models. For such a network, we pose an optimization problem and find general sufficient optimality conditions as generalizations of sufficient conditions for discrete‐continuous dynamical systems. We survey possible applications of this direction and consider an example of optimizing nature preservation activities in a river basin.