Algorithm for Solving of Two-Level Hierarchical Minimax Program Control Problem in Discrete-Time Dynamical System with Incomplete Information / Shorikov A. F. // . - 2016. - V. 1789, l. .

ISSN/EISSN:

0094-243X / нет данных

Type:

Proceedings Paper

Abstract:

This article discusses the discrete-time dynamical system consisting from two controlled objects and described by a linear recurrent vector equations in the presence of uncertain perturbations. This dynamical system has two levels of a control: dominant level (the first level or the level I) and subordinate level (the second level or the level II) and both have different linear terminal criterions of functioning and united a priori by determined information and control connections. It is assumed that the sets constraining all a priori undefined parameters are known and they are a finite sets or convex, closed and bounded polyhedrons in the corresponding finite-dimensional vector spaces. For the dynamical system in question, we propose a mathematical formalization in the form of solving two-level hierarchical minimax program control problem with incomplete information. In this article for solving of the investigated problem is proposed the algorithm that has a form of a recurrent procedure of solving a linear programming and a finite optimization problems. The results obtained in this article can be used for computer simulation of an actual dynamical processes and for designing controlling and navigation systems.

Author keywords:

нет данных

DOI:

10.1063/1.4968503

Web of Science ID:

ISI:000399215200082

Соавторы в МНС:

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Другие поля

Поле	Значение
Editor	Pasheva, V and Popivanov, N and Venkov, G
Booktitle	APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'16)
Series	AIP Conference Proceedings
Note	42nd International Conference on Applications of Mathematics in Engineering and Economics (AMEE), Sozopol, BULGARIA, JUN 08-13, 2016
Organization	Tech Univ Sofia, Fac Appl Math \& Informat
Publisher	AMER INST PHYSICS
Address	2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Language	English
Article-Number	UNSP 060011
ISBN	978-0-7354-1453-2
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied
Author-Email	afshorikov@mail.ru
Funding-Acknowledgement	Russian Basic Research Foundation {[}15-01-02368]; Russian Science Foundation {[}15-18-10014]
Funding-Text	This work was supported by the Russian Basic Research Foundation, project no. 15-01-02368, and by the Russian Science Foundation, project no. 15-18-10014 (In part of mathematical simulation of dynamical process with information uncertainty).
Number-of-Cited-References	9
Doc-Delivery-Number	BH2SE