Minimax Program Terminal Control in Two-Level Hierarchic Nonlinear Discrete Dynamical System

Journal Article · Tue May 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-3795-Z· OSTI ID:22771262

Shorikov, A. F., E-mail: [e-mail] ^[1]

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1. Ural Federal University, Institute of Mathematics and Mechanics, Ural Branch of RAS (Russian Federation)

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 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.

• OSTI ID: 22771262
• Journal Information: Journal of Mathematical Sciences, Vol. 230, Issue 5; Conference: International symposium on differential equations, Perm (Russian Federation), 17-18 May 2016; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
CONTROL
DECISION MAKING
DISTURBANCES
DYNAMICAL SYSTEMS
MATHEMATICAL SOLUTIONS
NOISE
NONLINEAR PROBLEMS
RECURSION RELATIONS