ISSN 1991-2927
 

ACP № 1 (59) 2020

Author: "Aleksandra Ivanovna Devien"

Igor Viktorovich Lutoshkin, Ulyanovsk State University, Candidate of Physics and Mathematics, Associate Professor, graduated from Ulyanovsk branch of Lomonosov Moscow State University with the specialty in Applied Mathematics; Head of the Department of Economic and Mathematical Methods and Information Technologies at Ulyanovsk State University; an author of articles in the field of numerical methods of optimal control theory and mathematical economics publishing in Russian and foreign Journals; research interests are investigative techniques for dynamic advanced systems; constructing models of economic development with delays. [e-mail: Lutoshkiniv@ulsu.ru]I. Lutoshkin,

Aleksandra Ivanovna Devien, Federal Research-and-Production Association ‘Research-and-Production Association ‘Mars’, Post-graduate Student at the Department of Economic and Mathematical Methods and Information Technologies at Ulyanovsk State University; graduated from Ulyanovsk State University with the specialty in Mathematical Methods in Economics; an economist of Economic Planning Department at FRPC OJSC ‘RPA ‘Mars’; research interests are dynamic economic models with delays. [e-mail: Gella29@yandex.ru]A. Devien

Applying the Parameterization Method for Algebraic-differential Systems With Delays 34_4.pdf

An extension of a parameterization method into problems described by algebraic-differential systems with delays is suggested. A scheme of reducing the algebraic-differential system with delays to an optimal control problem and applying the parameterization method to it is described. A computational experiment supporting the relevance of the suggested approach is carried out. In the paper the parameterization method is expanded into the algebraic-differential systems with delays. There is described the scheme of reducing the algebraic-differential systems with delays to the optimal control problems and applying the parameterization method to it. The numerical experiment states such approach.

Words: optimization problems with delays, the parameterization method for the problems with delays, algebraic-differential equations with delays.

2013_ 4

Sections: Mathematical modeling, calculi of approximation and software systems

Subjects: Mathematical modeling, Operational research.


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