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15th International Conference on Optimization and Applications, OPTIMA 2024

作者： Gornov, Alexander Anikin, Anton Sorokovikov, Pavel Zarodnyuk, Tatiana Matrosov Institute for System Dynamics and Control Theory of SB RAS Lermontov Str. 134 Irkutsk664033 Russia

ISBN: (纸本)9783031791185

The article discusses a novel approach for optimizing atomic-molecular structures in extra-large clusters, focusing on reducing computational complexity and applying parallel computing techniques. A three-stage computation process is outlined, offering benefits over traditional algorithms by efficiently navigating through multi-extremal optimization challenges. The software, based on this methodology, demonstrated high efficacy in solving complex molecular dynamics problems. When comparing the outcomes with experimental data, no significant deviations from the expected patterns in potential values were detected. The developed three-stage numerical approach proved instrumental in solving optimization tasks for extra-large atomic-molecular systems. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

关键词： Molecular dynamics

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The light-by-light contribution to the muon g − 2 within the nonlocal chiral quark model with vector and axial-vector mesons

arXiv

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arXiv 2025年

作者： Radzhabov, A.E. Zhevlakov, A.S. Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk664033 Russia Joint Institute of Nuclear Research BLTP Moscow region Dubna141980 Russia

The hadronic light-by-light contribution to the muon anomalous magnetic moment is calculated in the framework of a nonlocal quark model with scalar–pseudoscalar and vector–axial-vector channels. The effect of the dressing of internal photons by vector mesons is found to be tiny. As a result, the contribution from the non-strange quark loop is aHLbLµLoop = (96 ± 15.4) × 10−11. The total value, including meson exchanges and the contribution of strange particles, is aHLbLµ = (157 ± 10.6)×10−11 Copyright © 2025, The Authors. All rights reserved.

关键词： Magnetic moments

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Relationships between heavy metal migration in soils and landslide dynamics under conditions of modern climate change: A case study of Lake Baikal, Olkhon Island

引用

Science of the Total Environment 2025年 975卷 179285页

作者： Cherkashina, Tatiana Yu. Svetlakov, Artem A. Pellinen, Vadim A. Cherkashin, Evgeny A. Institute of the Earth's Crust Siberian Branch of Russian Academy of Sciences Lermontov St. 128 Irkutsk664033 Russia Matrosov Institute for System Dynamics and Control Theory Siberian Branch of Russian Academy of Sciences Lermontov St. 134 Irkutsk664033 Russia

The problem of studying landslide processes has attracted worldwide attention due to both the increase in human activities. New data for environmental monitoring of the Lake Baikal coast were obtained. The main goal aims to establish relationships between modern climate changes and the landslide process dynamics, as expressed in the assessment of Hg, Pb, Cd contamination levels, the identification of their possible sources and interelemental relationships, as well as the evaluation of some natural factors. Some improvements to previously developed analytical and physical-mechanical techniques have been made, which have enabled to improve some statistical characteristics for the analytical methods, as well as to achieve uniform moisture distribution throughout the tested sample to the specified values. The coastal zone was classified as moderately to heavily contaminated by Hg (2.97) and Pb (2.08) using the Cf method. The EF and Igeo methods indicated that a significant amount of Hg and Pb was probably from anthropogenic sources. The PCA indicated a strong inverse relationship between Hg and Cd (−0.833) in the landslide zone (L3 site) and a perfect positive relationship in the coastal zone (0.992) that suggests different sources and pathways. A change in soil temperature to positive values (from 0.6 to 1.1 °C) leads to an increase in the depth of thawing, which results in a lowering of the permafrost roof. This proves that permafrost rocks influence landslide activation, which in turn leads to migration of heavy metals in the landslide. These conclusions are fully consistent with the main goal of the study and the proposed hypotheses. These findings can help the authorities of the National Parks and other individuals in charge of making decisions regulate the anthropogenic load on the ecosystem of Olkhon Island and generally the Baikal region. © 2025

关键词： Lake pollution

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BV solutions of rate independent processes driven by impulsive controls

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IFAC-PapersOnLine 2018年第32期51卷 361-366页

作者： Samsonyuk, Olga N. Timoshin, Sergey A. Matrosov Institute for System Dynamics and Control Theory of SB RAS Irkutsk Russia

An extension to discontinuous inputs of bounded variation of the play operator is presented. The motivation for such an extension comes from optimal impulsive control problems with hysteresis. The latter is introduced by means of variational inequalities modeling the action of the play operator on the BV-inputs. Our extension is applied to the graph completions of BV-functions and it allows us to study impulsive control systems characterized by measure-driven differential equations with nonlinear terms of hysteresis type. Some approximation results for impulsive processes are also provided. © 2018

关键词： Process control Differential equations Hysteresis Nonlinear equations Variational techniques Approximation results impulsive Impulsive control systems Impulsive controls Optimal controls Optimal impulsive control Rate independent process Variational inequalities

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Optimality conditions with feedback controls for optimal impulsive control problems

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IFAC-PapersOnLine 2018年第32期51卷 509-514页

作者： Dykhta, Vladimir A. Samsonyuk, Olga N. Matrosov Institute for System Dynamics and Control Theory of SB RAS Irkutsk Russia

This paper concerns with optimal impulsive control problems with trajectories of bounded variation. Necessary optimality conditions based on weakly monotone solutions of the Hamilton Jacobi inequality and feedback controls are discussed. A particular attention is paid to necessary optimality conditions with feedback controls, called Feedback minimum principle. The latter is generalized the corresponding principle for classical optimal control problems and is formulated in terms of Pontryagin Maximum Principle. An example illustrating these results is considered. © 2018

关键词： Feedback control Differential equations Optimal control systems Bounded variations Hamilton Jacobi inequality Impulsive controls Minimum Principles Necessary optimality condition Optimal control problem Optimal impulsive control Optimality conditions

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Angular coefficients of the Drell-Yan process across different rapidity and kinematical ranges

arXiv

引用

arXiv 2025年

作者： Lyubovitskij, Valery E. Zhevlakov, Alexey S. Anikin, Iurii A. Institut für Theoretische Physik Universität Tübingen Auf der Morgenstelle 14 TübingenD-72076 Germany of ANID Fernández Concha 700 Santiago Chile Bogoliubov Laboratory of Theoretical Physics Joint Institute for Nuclear Research Dubna141980 Russia Matrosov Institute for System Dynamics and Control Theory SB RAS Lermontov str. 134 Irkutsk664033 Russia Department of Physics Tomsk State University Tomsk634050 Russia

We present comprehensive analysis of the angular structure of the Drell-Yan process at different rapidity and kinematical ranges using data of the ATLAS, LHCb, and CMS Collaborations at CERN LHC. From theory side we discuss next-to-leading order calculations in the framework of the collinear perturbative QCD and geometrical method. © 2025, CC BY.

关键词： Angular distribution

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Solvability of Quasilinear Integral–Algebraic Equations

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Journal of Mathematical Sciences (United States) 2024年第6期279卷 756-762页

作者： Bulatov, Mikhail Solovarova, Liubov Matrosov Institute for System Dynamics and Control Theory SB RAS 134 Lermontova St Irkutsk 664033 Russian Federation

We study quasilinear systems of integral equations that are linear with respect to the principal part and nonlinear with respect to the integral term. We formulate sufficient conditions for the local existence of a unique smooth solution to such a system in terms of matrix pencils and provide some examples. We study quasilinear systems of integral equations that are linear with respect to the principal part and nonlinear with respect to the integral term. We formulate sufficient conditions for the local existence of a unique smooth solution to such a system in terms of matrix pencils and provide some examples. © Springer Nature Switzerland AG 2024.

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Stability of an Interval Family of Differential-Algebraic Equations with Variable Coefficients

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Journal of Mathematical Sciences (United States) 2019年第2期239卷 214-231页

作者： Shcheglova, A.A. Kononov, A.D. Matrosov Institute for System Dynamics and Control Theory SB RAS 134 Lermontov St Irkutsk 664033 Russian Federation

We consider a linear nonstationary system of ordinary differential equations with interval coefficients which is not solvable with respect to the derivative of the unknown vector-valued function for any matrix coefficients in a given interval family. We obtain conditions sufficient for the preservation of the internal structure of the system. Under conditions guaranteeing the structure preservation, we obtain sufficient and necessary robust stability conditions. A variable rank of matrix coefficients and an arbitrary high unsolvability index are allowed. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

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Robust controllability of Nonstationary Differential-Algebraic Equations with Unstructured Uncertainty

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Journal of Mathematical Sciences (United States) 2019年第2期239卷 123-134页

作者： Petrenko, P.S. Matrosov Institute for System Dynamics and Control Theory SB RAS 134 Lermontov St Irkutsk 664033 Russian Federation

We consider a nonstationary system of differential-algebraic equations, i.e., the first order ordinary differential equations with variable coefficients and identically singular matrix at the derivative of the unknown vector-valued function. We construct the structural form for the perturbed system and obtain sufficient conditions for the robust (complete, differential, R-) controllability of such systems of index 1 and 2. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

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Stability of Difference Scheme for a Semilinear Differential Algebraic system of Index (k, 0)

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Journal of Mathematical Sciences (United States) 2019年第2期239卷 172-184页

作者： Svinina, S.V. Matrosov Institute for System Dynamics and Control Theory SB RAS 134 Lermontov St Irkutsk 664033 Russian Federation

We consider a semilinear differential-algebraic system of partial differential equations of index (k, 0). We numerically solve this system by applying the spline-collocation method based on splitting the matrix pencil. The method has high accuracy coinciding with the smallest order of the approximating spline. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

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