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

## Abstract

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.

- Authors:

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

- Publication Date:

- OSTI Identifier:
- 22771262

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 230; Journal 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); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

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

### Citation Formats

```
Shorikov, A. F., E-mail: afshorikov@mail.ru.
```*Minimax Program Terminal Control in Two-Level Hierarchic Nonlinear Discrete Dynamical System*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3795-Z.

```
Shorikov, A. F., E-mail: afshorikov@mail.ru.
```*Minimax Program Terminal Control in Two-Level Hierarchic Nonlinear Discrete Dynamical System*. United States. doi:10.1007/S10958-018-3795-Z.

```
Shorikov, A. F., E-mail: afshorikov@mail.ru. Tue .
"Minimax Program Terminal Control in Two-Level Hierarchic Nonlinear Discrete Dynamical System". United States. doi:10.1007/S10958-018-3795-Z.
```

```
@article{osti_22771262,
```

title = {Minimax Program Terminal Control in Two-Level Hierarchic Nonlinear Discrete Dynamical System},

author = {Shorikov, A. F., E-mail: afshorikov@mail.ru},

abstractNote = {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.},

doi = {10.1007/S10958-018-3795-Z},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 5,

volume = 230,

place = {United States},

year = {2018},

month = {5}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.