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Minimax Approach Problem With Incomplete Information For Two-Level Hierarchical Nonlinear Discrete-Time Dynamical System

Andrey F. Shorikov
We consider a discrete--time dynamical system consisting of three
controllable objects. The motions of all objects are given by the
corresponding vector nonlinear discrete--time recurrent vector
relations, and control system for its has two levels: basic (first
or I level) that is dominating and subordinate level (second or II
level) and both have different criterions of functioning and
united a priori by determined informational and control
connections defined in advance. For the dynamical system in
question, we propose a mathematical formalization in the form of
solving a multistep problem of two-level hierarchical minimax
program control over the terminal approach process with incomplete
information and give a general scheme for its solving.
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