Geodesic
Minimax program terminal control in two-level hierarchic nonlinear discrete dynamical system
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 153-156

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We consider a discrete dynamical system consisting of a number of controllable objects whose dynamics is governed by vector nonlinear discrete recurrent relations with control parameters and perturbations (noises). In such system, two levels of making of management decisions are distinguished: the dominating (first) level and the subordinate (second) level, which have different criteria of functioning. These levels are integrated by certain information and control relations. We consider the problem of two-level minimax program terminal control in a discrete dynamical system and propose its mathematical statement and a general scheme of its solution.
Keywords: hierarchic discrete dynamical system, minimax program terminal control. 
@article{INTO_2017_132_a34,
     author = {A. F. Shorikov},
     title = {Minimax program terminal control in two-level hierarchic nonlinear discrete dynamical system},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {153--156},
     publisher = {mathdoc},
     volume = {132},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_132_a34/}
}
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A. F. Shorikov. Minimax program terminal control in two-level hierarchic nonlinear discrete dynamical system. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 153-156. http://geodesic.mathdoc.fr/item/INTO_2017_132_a34/