The minimax program terminal control problem in a two-level hierarchical nonlinear discrete-time dynamical system

We consider a discrete-time dynamic system consisting of several objects and describe their dynamics by the corresponding vector nonlinear discrete-time recurrent relations. The control system has two levels: a basic dominating level (the first or I level) and a subordinate level (the second or II level), both having different criteria of functioning and united a priori by definite informational and control connections. For the dynamical system in question, we propose a mathematical formalization in the form of solving the minimax program terminal control problem in a two-level hierarchical nonlinear discrete-time dynamical system and give a general scheme for its solution.