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Определение оптимальной рекламной и ценовой политики компании-монополиста на основе модифицированной модели Видаля-Вольфа
С. 114–121.
Gracheva S., Першин М. А.
In book
Гомель: Учреждение образования «Гомельский государственный университет им. Ф. Скорины», 2010.
Ronzhina M., Manita L., , in: Systems Analysis: Modeling and Control: Materials of the International Conference in memory of Academician A.V. Kryazhimskiy, Moscow, January 23–24, 2024. Abstracts.: -, 2024. P. 25–26.
For some class of small-dimensional optimal control problems we found a family of extremals in the form of logarithmic spirals. These extremals reach the singular surface in a finite time, while the control performs an infinite number of rotations around the circle. ...
Added: October 8, 2025
Afanasiev V., Автоматика и телемеханика 2025 № 10 С. 3–20
The optimal control of a system’s final state is a fundamental problem that constitutes the core of many optimization tasks. Such problems involve describing the dynamic object, specifying constraints on controls and states, and defining a quality functional, typically a Bolza functional. The necessary optimality conditions for synthesizing the corresponding controls are written as a canonical Euler–Lagrange system with specified ...
Added: September 24, 2025
T. A. Alexeeva, Kuznetsov N. V., Lobachev M. et al., IFAC-PapersOnLine 2022 Vol. 55 No. 40 P. 157–162
One of the central tasks of macroeconomic analysis is forecasting and control of economic agents’ expectations for key macroeconomic indicators such as inflation, gross domestic product (GDP), prices and others, etc., so that to achieve maximum level of their welfare through monetary and fiscal policy. This problem is solved within the framework of the optimal ...
Added: April 8, 2023
Alexeeva T., Kuznetsov N., Mokaev T. et al., IFAC-PapersOnLine 2021 Vol. 54 No. 17 P. 26–31
Irregular fluctuations in economy lead to unpredictable effects and disrupt its stable functioning. Various tools could be used to stabilize irregular dynamics in economic models. For example, to introduce control into the model as an external function, as well as to take into account the internal characteristics of economic agents in the economy under consideration, ...
Added: February 5, 2022
Beklaryan L., Флерова А. Ю., Zhukova A., МФТИ, 2018.
В основу данного учебного пособия включен материал практических занятий по курсам «Оптимизация» и «Методы оптимального управления». Представлены теоретические результаты, примеры применения и вопросы для самостоятельного изучения в области оптимизации. Рассмотрены задачи оптимального управления, подходы и методы их решения, в частности принцип максимума Понтрягина, необходимые и достаточные условия существования решения. Предназначено для студентов старших курсов, аспирантов, специалистов ...
Added: June 17, 2021
Ronzhina M., Manita L., Journal of Physics: Conference Series 2021 Vol. 1740 P. 1–5
We study singularities of optimal solutions in a problem of controlling the Timoshenko beam vibrations. The Timoshenko beam vibrations are described by a system of two coupled hyperbolic equations. Controls are introduced as external bounded forces. We consider the problem of minimizing the mean square deviation of the Timoshenko beam from the equilibrium position. For ...
Added: April 5, 2021
Воронеж: Издательский дом ВГУ, 2020.
В сборнике представлены материалы докладов и лекций, включенных в прграмму Воронежской весенней математической школы "Понтрягинские чтения - XXXI", которая посвящена памяти Юлия Витальевича Покорного (80-летию со днч рождения). ...
Added: February 27, 2021
Pospelov I. G., Zhukova A., , in: 2020 European Control Conference (ECC).: Institute of Electrical and Electronics Engineers Inc., 2020. P. 1129–1134.
This paper presents the approach to solving optimal control problems that appear in economic models using the Lagrange's multipliers method. This method is not as widely used as it might be, taking into accounts its benefits and convenience. The power of this method for intertemporal general equilibrium allows building complex structural models of the whole ...
Added: December 8, 2020
Switzerland: Springer, 2020.
This volume, edited by Yaroslav D. Sergeyev and Dmitri E. Kvasov, contains selectedpeer-reviewed papers from the Third Triennial International Conference and SummerSchool on Numerical Computations: Theory and Algorithms (NUMTA 2019) held inLe Castella–Isola Capo Rizzuto (Crotone), Italy, during June 15–21, 2019.The NUMTA 2019 conference has continued the previous successful editions ofNUMTA that took place in ...
Added: December 8, 2020
Таганрог: Издательство Южного феделального университета, 2019.
В томе 1 материалов XII Всероссийской мультиконференции по
проблемам управления (МКПУ-2019) представлены материалы
докладов локальной научно-технической конференции «Модели,
методы и технологии интеллектуального управления» (ИУ-2019)». ...
Added: April 27, 2020
Klimenkova O., / Series math "arxiv.org". 2016. No. 1612.08302.
Added: December 15, 2019
Radionov S., Pilnik N., Pospelov I. G., Advances in Systems Science and Applications 2019 Vol. 19 No. 2 P. 44–62
A new approach to the transformation of solutions of optimal control problems based on the special form of relaxation of complementary slackness conditions is presented. The proposed approach is tested on the Russian banking system model, which is derived as a solution of a linear nonautonomous optimization problem with mixed constraints. It is shown that ...
Added: July 11, 2019
Zhukova A., Pospelov I. G., Экономический журнал Высшей школы экономики 2018 Т. 22 № 3 С. 330–361
In this paper, we consider the classical problem of maximizing discounted utility, provided that the moment of the next purchase and receipt of a loan is random (Poisson). The purpose of the study is to take into account the uncertain waiting period for receipt of a credit in consumption decision-making. The model is formulated as ...
Added: January 16, 2019
М.: МАКС Пресс, 2018.
Optimal Control and Differential Games. Materials of the International Conference dedicated to the 110th anniversary of Lev Semenovich Pontryagin, Moscow, December 12-14, 2018 ...
Added: December 16, 2018
Katkova Y., Экономика и управление в машиностроении 2017 № 5 С. 38–41
This article includes the research of the industrial companies’ media advertising application in the Russian market. The study used data of 225 largest industrial companies that produce, sell and promote their products in Russia. The article analyzes their media advertising budgets, shares of the various advertising tools, frequency of their use and other characteristics. It ...
Added: September 3, 2018
Max press, 2018.
This collection of articles contain materials of the talks presented at the International Conference "Systems Analysis: Modeling and Control" in memory of Academician A.V. Kryazhimskiy, Moscow, May 31 - June 1, 2018 ...
Added: June 18, 2018
Manita L., Ronzhina M., Journal of Physics: Conference Series 2018 Vol. 955 No. 1 P. 1–6
Optimal control problem for the system of partial differential equations of hyperbolic type is
considered. By using the Fourier method this problem is reduced to the optimal control
problem for the corresponding Fourier coefficients. For some special initial data we prove
the existence of optimal solutions with a countable number of switchings on a finite time
interval and optimal ...
Added: June 17, 2018
Katkova Y., Вестник Российского университета дружбы народов. Серия: Экономика 2017 Т. 25 № 3 С. 427–435
One of the most important and relevant business problems is the search for the optimal advertising budget and its distribution on advertising tools. This study focuses on the analysis of advertising budgets and its structure in the Russian market. In paper compares various types of advertisers, and provides recommendations for the application of advertising tools ...
Added: May 11, 2018
Pilnik N., Radionov S., Труды Московского физико-технического института 2017 Т. 9 № 3 С. 151–160
В работе на примере модели банковской системы Российской Федерации представлена технология идентификации параметров на статистических данных отдельных блоков моделей общего равновесия. Данная технология включает в себя переход от непрерывной временной шкалы к дискретной, смягчение условий дополняющей нежесткости, численное разрешение части уравнений системы, подбор параметров за модели за счет минимизации функционала специального типа. В основе модели ...
Added: September 25, 2017
М.: МАКС Пресс, 2017.
The collection represents proceedings of the XVIII international conference “Problems of Theoretical Cybernetics” (Penza, 19–23 June, 2017), that is sponsored by Russian Foundation for Basic Research (project N 17-01-20217-г). The conference subject area includes: control systems synthesis, complexity, reliability, and diagnostics; automata; computer languages and programming; graph theory; combinatorics; coding theory; theory of pattern recognition; ...
Added: September 21, 2017