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Comparison theorem for a class of Riccati differential equations and its application
Differential Equations. 2016. Vol. 52. No. 8. P. 981–986.
We prove a comparison theorem for the solutions of Riccati matrix equations in which the diagonal entries of the matrix multiplying the linear term are perturbed by a bounded function. This theorem is used to study optimal trajectories in a pollution control problem stated in the form of a linear regulator over an infinite time horizon with a discount function of the general form.
Springer, 2026.
This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
Added: June 30, 2026
Pochinka O., Barinova M., Journal of Geometry and Physics 2026 Vol. 228 P. 1–8
In the present paper we consider an Ω-stable 3-diffeomorphism with a solid or thickened surfaced non-trivial basic set. Such basic sets include, for instance, all one-dimensional expanding attractors and those two-dimensional basic sets that are not expanding. We prove that the chain recurrent set of every such a diffeomorphism necessarily contains at least two non-trivial ...
Added: June 30, 2026
German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
Пусть симплекс с целочисленными вершинами - содержащий ровно одну целочисленную точку, отличную от своих вершин. В работе доказывается, что если точка находится во внутренности симплекса или в относительной внутренности некоторой гиперграни симплекса, то объем симплекса ограничен величиной, зависящей только от размерности, в противном случае объем симплекса может быть сколь угодно большим. Этот результат применяется для вывода асимптотической формулы для среднего числа вершин полиэдров ...
Added: June 29, 2026
Ivchenko A., Nigmatullin R. R., Dorokhin S. V., Mathematics 2021 Vol. 9 No. 4 Article 381
n this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider ...
Added: June 27, 2026
Ivchenko A., Shestoperov A. I., Fomina E. V., Microgravity Science and Technology 2025 Vol. 37 No. 19 P. 1–19
The paper is dedicated to the analysis of medico-biological data obtained during locomotor testing of astronauts. Accurate data interpretation plays a crucial role in locomotion system monitoring, prophylaxis of long-duration spaceflight negative effects and thus in the development of an autonomous medical support system for deep space expeditions. During the locomotor testing the astronaut changes ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., 2023 3rd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET) Mohammedia, Morocco 2023 P. 1–6
The article proposes the architecture for eventdriven Emergency Operation Center with Machine Vision Component. Sources of information are analyzed and approaches to machine vision events for tactical situations detection and estimation are discussed. Messages from Machine Vision Components are converted to Common Alerting Protocol and processed by Operation Center environment for tactical situations recognition. ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., Лукьянченко П. П., Computer Research and Modeling 2023 Vol. 15 No. 1 P. 129–140
In this article we propose a new approach to the analysis of econometric industry parameters for the industry consolidation level. The research is based on the simple industry automatic control model. The state of the industry is measured by quarterly obtained econometric parameters from each industry’s company provided by the tax control regulator. An approach ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., International Frequency Sensor Association (IFSA) Publishing, 19-21 February 2025 Granada, Spain 2025 P. 172–176
The paper presents models for an innovative fully robotic warehouse for storing boxed goods. A discrete multiagent simulation of the movement of shuttles in a warehouse for a given sequence of pallet shipments has been implemented. Different strategies for placement of boxes in various areas of a warehouse are evaluated, as well as optimal routing ...
Added: June 26, 2026
Fedorov Timofey, Moscow Mathematical Journal 2026 Vol. 26 No. 1 P. 73–85
We obtain a complete list of smooth projective threefolds over C for which the dimension of the space of vanishing cycles (in H2(Y,Q) of the smooth hyperplane section Y) equals 2. We also obtain a complete list of rank 2 very ample vector bundles E on smooth projective surfaces with c2(E)=3. ...
Added: June 25, 2026
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций, включенных в программу весенней математической школы. ...
Added: June 25, 2026
Kuzyutin D., Smirnova N., , in: Frontiers of Dynamic Games: Proceedings of the International Conference “Game Theory and Applications” 2022.: Cham: Birkhäuser, 2024. Ch. 7 P. 93–107.
Added: May 21, 2025
Palamarchuk E. S., Theory of Probability and Its Applications 2023 Vol. 67 No. 4 P. 535–547
A linear control system over an infinite time-horizon is considered, where external excitations are defined as polynomials based on a time-varying Ornstein--Uhlenbeck process. An optimal control law with respect to long-run average type criteria is established. It is shown that the optimal control has the form of a linear feedback law, where the affine term ...
Added: September 23, 2023
E. S. Palamarchuk, Journal of Applied and Industrial Mathematics (перевод журналов "Сибирский журнал индустриальной математики" и "Дискретный анализ и исследование операций") 2022 Vol. 16 No. 4 P. 720–736
We consider the optimal tracking problem for the exponential Ornstein–Uhlenbeck process. By a change of variables, the linear-quadratic control system with discounting is transformed into an inhomogeneous linear system with random coefficients. For the latter system, we obtain an optimal control law over an infinite time horizon. The results are applied to determine an optimal ...
Added: September 23, 2023
Zhmud V. A., Nosek J., Mansurova M. E. et al., , in: 2021 XV International Scientific-Technical Conference on Actual Problems Of Electronic Instrument Engineering (APEIE).: Newark: IEEE, 2021. P. 534–538.
Development of the Internet of things (IoT) technologies arises many additional problems as energy harvesting. In particular, a long-time controlling object needs a device without an external power supply. The control of technical objects with a high order of mathematical model has a large difficulty if a feature of the object is a high tendency ...
Added: September 2, 2022
Теоремы сравнения для вероятностей малых уклонений весовых L_2-норм гриновских гауссовских процессов
Pusev R., Назаров А. И., Алгебра и анализ 2013 Т. 25 № 3 С. 131–146
Comparison theorems are proved for small ball probabilities of the Green Gaussian processes in weighted L_2-norms. The sharp small ball asymptotics are found for many classical processes under quite general assumptions on the weight. ...
Added: January 28, 2019
Palamarchuk E. S., Automation and Remote Control 2018 Vol. 79 No. 3 P. 439–450
We consider the problem of stochastic linear regulator over an infinite time horizon with superexponentially stable matrix in the equation of state dynamics. The form of the optimal control based on the criterion taking into account the information about the parameters of disturbances and the matrix stability rate was determined. The results obtained were used ...
Added: June 1, 2018
Palamarchuk E. S., Автоматика и телемеханика 2016 № 10 С. 78–92
Проводится анализ критериев оптимальности, используемых в задаче
стохастического линейного регулятора на бесконечном интервале времени.
Показано, что известный критерий долговременного среднего и потраекторное эргодическое
являются неэффективными при учете фактора шумовых воздействий.
Исследована эффективность нового критерия обобщенного долговременного среднего
и его применение в системах
управления с дисконтированием. ...
Added: November 3, 2016
Kapalin V. I., Шаповалова Н. Е., Промышленные АСУ и контроллеры 2012 № 10 С. 14–17
An algorithm for the design of linear regulators for nonlinear control objects is suggested. The algorithm is based on interpolation technique and state-space method. An example of the suggested design method in MATLAB is given ...
Added: November 29, 2015
Palamarchuk E. S., Управление большими системами: сборник трудов 2015 № 56 С. 123–142
We consider a problem of optimal portfolio selection in order to track a riskless reference portfolio. The performance of controls is evaluated according to the investor’s time-preference. We investigate the stochastic optimality of the control which minimizes the expected long-run cost, providing an asymptotically upper estimate (almost surely) on difference between objective functionals corresponding to ...
Added: October 6, 2015
Каширин В. В., Тихонов Г. В., Grachev N. N., Экономика и управление в машиностроении 2015 № 1 С. 48–52
Авторами предлагаются основы методологии принципов организации оценки и критериев отбора лучших инновационных проектов на рынке инновационных продуктов.
С возникновением нового объекта экспертизы: инновационных проектов, программ, образовательных практик – появляется насущная необходимость рассмотреть исходные положения теории экспертирования.
В целях освоения и понимания задач инновационного менеджмента и способов их решения предлагаем рассмотреть общий подход к разработке той ...
Added: April 12, 2015
Palamarchuk E. S., Computational Mathematics and Mathematical Physics 2014 Vol. 54 No. 1 P. 83–96
The asymptotic behavior of a stochastic process satisfying a linear stochastic differential equation is analyzed. More specifically, the problem is solved of finding a normalizing function such that the normalized process tends to zero with probabilty 1. The explicit expression found for the function involves the parameters of the perturbing process, and the function itself ...
Added: March 19, 2015
Palamarchuk E. S., Belkina T. A., Automation and Remote Control 2013 Vol. 74 No. 4 P. 628–641
For a linear stochastic control system with quadratic objective functional, we introduce
various generalizations of the notions of optimality on average and stochastic optimality
on an infinite time interval that take into account possible degeneration of the parameter of
the disturbing process with time (attenuation of the disturbances) or the presence of a discount
function in the objective functional. ...
Added: December 22, 2013