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Singular extremals in control problems for wireless sensor networks
P. 461–474.
Power consumption, clock synchronization and optimization are very popular topics an analysis of wireless sensor networks. In the present talk we consider a mathematical model related with large scale networks which nodes are equipped with noisy non-perfect clocks. The task of optimal clock synchronization in such networks is reduced to the classical control problem. Its functional is based on the trade-off between energy consumption and mean-square synchronization error. This control problem demonstrates surprisingly deep connections with the theory of singular optimal solutions.
In book
ISAST: International Society for the Advancement of Science and Technology, 2015.
Optimal Control for Stochastic Multi-agent Systems With the Use of Parallel Hybrid Genetic Algorithm
Akopov A. S., Beklaryan A., , in: Numerical Computations: Theory and Algorithms. 4th International Conference, NUMTA 2023, Pizzo Calabro, Italy, June 14–20, 2023, Revised Selected Papers, Part IVol. 14476.: Springer Publishing Company, 2025. P. 273–280.
In modern times, stochastic large-scale multi-agent systems (MAS) aimed at supporting socio-economic planning are being developed. There is a well known problem of a high computational complexity task of an optimal control for multiple agents’ behaviour in models of random interactions. In particular, agents (such as sellers and buyers) should make individualised decisions on establishing ...
Added: November 23, 2025
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
Delev A., Semakov S., , in: 2025 8th International Conference on Artificial Intelligence and Big Data (ICAIBD).: IEEE, 2025. P. 318–322.
Profit is one of the most important economic indicators of a company’s performance, and for every company it is necessary to allocate resources in such a way as to obtain the maximum possible profit. The profit maximization problem is usually a dynamic optimization problem. This article discusses an approach to solving the production expansion problem ...
Added: August 25, 2025
Sochi: IEEE, 2025.
International Russian Smart Industry Conference is devoted to discussion of the latest achievements in the field of automation and control systems. It will be held in Sochi, the Russian Federation, in March, 2026. The conference is organized in order to exchange experiences, to promote the discussion and presentation of research papers, summarizing research in universities, ...
Added: May 10, 2025
-, 2024.
This collection of articles contains materials of the talks presented at the International Conference «Systems Analysis: Modeling and Control» in memory of Academician A.V. Kryazhimskiy, Moscow, January 23–24, 2024. ...
Added: June 24, 2024
Aksiotis V., Voskoboynikov A., Ossadtchi A. et al., , in: 2023 Fifth International Conference Neurotechnologies and Neurointerfaces (CNN) 18-20 Sept. 2023.: IEEE, 2023. P. 4–7.
Decision-making is a complex and prolonged process. In this study, we present an adaptive algorithm designed to explicitly estimate the duration of perceptual decision-making in the Random Dot Motion Task. The algorithm effectively disentangles the duration of the preparation period for the subject's decision on the direction of movement of the dots from the period ...
Added: November 9, 2023
Борисовская А. В., Tyurlikov A., Вопросы радиоэлектроники. Серия: Техника телевидения 2022 № 3 С. 93–100
Environmental monitoring systems using LPWAN networks in the mode of random access to a radio channel are considered. Methodology for determining the number of sensors in such systems is proposed. ...
Added: September 27, 2023
Борисовская А. В., Успехи современной радиоэлектроники 2022 Т. 76 № 12 С. 82–89
Most modern monitoring systems, such as environmental monitoring systems, use LoRaWAN (Long Range Wide Area Network) technology. This technology allows to transfer small amounts of data over long distances. In addition, it allows to reduce the number of collisions in such systems due to a wide range of data rates and due to different frequency ...
Added: September 27, 2023
Борисовская А. В., T-Comm: Телекоммуникации и транспорт 2023 Т. 17 № 7 С. 21–28
One of the important scientific directions in the research of the Internet of things is the analysis of monitoring systems for random events with correlated sources based on random multiple access. Taking into account the correlation of data from nearby sensors increases the energy efficiency of the system and ensures the stability of its operation. ...
Added: September 27, 2023
Pleiades Publishing, Ltd. (Плеадес Паблишинг, Лтд), 2023.
Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas:
mathematics
mathematical physics
computer science
control theory, and computers
It publishes brief ...
Added: June 9, 2023
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
Gubar E., Taynitskiy V., Fedyanin D. et al., Computation 2022 Vol. 10 No. 2 Article 31
In the current study, we define a hierarchical epidemic model that helps to describe the
propagation of a pathogen in a clustered human population. The estimation of a novel coronavirus
spreading worldwide leads to the idea of the hierarchical structure of the epidemic process. Thus,
the propagation process is divided into three possible levels: a city, a country, ...
Added: October 4, 2022
IEEE, 2022.
Continuing with the outstanding success of IEEE IEMCON, IEEE CCWC, IEEE UEMCON, IEMANTENNA we are proud to present IEMTRONICS 2022 (International IOT, Electronics and Mechatronics Conference) which will be held during 1st- 4th June, 2022 at Toronto, Canada, in online mode. Keeping in mind the pandemic situation prevalent globally due to Covid 19 and following ...
Added: July 20, 2022
Bankov D., Levchenko P. A., Lyakhov A. et al., Journal of Communications Technology and Electronics 2022 Vol. 67 No. 6 P. 747–754
The rapid growth of the Internet of Things gives rise to numerous Low Power Wide Area Network technologies, one of which, NB-Fi technology, has been approved as a Preliminary National Standard of the Russian Federation and is planned for wide application. However, the scientific literature contains very few studies of NB-Fi, and the investigation of ...
Added: June 27, 2022
Belomestny Denis, Iosipoi L., Paris Q. et al., Bernoulli: a journal of mathematical statistics and probability 2022 Vol. 28 No. 2 P. 1382–1407
We study the problem of empirical minimization for variance-type functionals over functional classes. Sharp non-asymptotic bounds for the excess variance are derived under mild conditions. In particular, it is shown that under some restrictions imposed on the functional class fast convergence rates can be achieved including the optimal non-parametric rates for expressive classes in the ...
Added: April 17, 2022
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
Vadim Azhmyakov, Oxford: Elsevier, 2019.
A Relaxation Based Approach to Optimal Control of Hybrid and Switched Systems proposes a unified approach to effective and numerically tractable relaxation schemes for optimal control problems of hybrid and switched systems. The book gives an overview of the existing (conventional and newly developed) relaxation techniques associated with the conventional systems described by ordinary differential equations. ...
Added: October 30, 2021
Azhmyakov V., Verriest E. I., Guzman Trujillo L. A. et al., IFAC-PapersOnLine 2018 Vol. 51 No. 25 P. 18–23
Our contribution deals with a class of Optimal Control Problems (OCPs) of dynamic systems with randomly varying time delays. We study the minimax-type OCPs associated with a family of delayed differential equations. The presented minimax dynamic optimization has a natural interpretation as a robustness (in optimization) with respect to the possible delays in control system ...
Added: October 30, 2021
Foroozandeh Z., Shamsi M., Azhmyakov V. et al., Mathematical Methods in the Applied Sciences 2017 Vol. 40 No. 5 P. 1783–1793
This paper presents a direct method based on Legendre–Radau pseudospectral method for efficient and accurate solution of a class of singular optimal control problems. In this scheme, based on a priori knowledge of control, the problem is transformed to a multidomain formulation, in which the switching points appear as unknown parameters. Then, by utilizing Legendre-Radau ...
Added: October 30, 2021
Azhmyakov V., Trujillo L. A., Italian Journal of Pure and Applied Mathematics 2017 Vol. 2017 No. 37 P. 219–237
This paper deals with a constrained LQ-type optimal control problem (OCP) in the presence of fixed levels input restrictions. We consider control processes governed by linear differential equations with a priori known control switching structure. The set of admissible inputs reflects some important natural engineering applications and moreover, can also be interpreted as a result ...
Added: October 30, 2021
Ronzhnina M., Manita L., Локуциевский Л. В., Успехи математических наук 2021 Т. 76 № 5(461) С. 201–202
В работе изучается гамильтонова система принципа максимума Понтрягина, аффинная по двумерному управлению. В окрестности особой точки найдены некоторые семейства решений. ...
Added: October 1, 2021