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

arXiv

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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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The sphere packing problem into bounded containers in three-dimension non-Euclidean space

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IFAC-PapersOnLine 2018年第32期51卷 782-787页

作者： Kazakov, A.L. Lempert, A.A. Ta, T.T. Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk Russia Irkutsk National Research Technical University Irkutsk Russia

This paper deals with the problem of optimal packing a given number of equal spheres into different closed sets. We consider the problem both in three-dimensional Euclidean and non-Euclidean spaces. The special algorithm based on optical-geometric approach is suggested and implemented. This approach is previously used only for packing circles in two-dimensional space. Numerical results are presented and discussed. © 2018

关键词： Spheres

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On a Global Search in Bilevel Optimization Problems with a Bimatrix Game at the Lower Level 23rd

On a Global Search in Bilevel Optimization Problems with ...

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23rd International Conference on Mathematical Optimization theory and Operations Research, MOTOR 2024

作者： Orlov, Andrei V. Matrosov Institute for System Dynamics and Control Theory of SB of RAS Irkutsk Russia

ISBN: (纸本)9783031627910

This paper addresses one class of bilevel optimization problems (BOPs) with an equilibrium at the lower level (in optimistic statement). Namely, we study BOPs with a convex quadratic optimization problem under linear constraints at the upper level and with a parametric non-normalized bimatrix game at the lower one, where we need to find a Nash equilibrium. In order to construct numerical methods for the problem in question, first, we transform the original bilevel problem into a single-level nonconvex optimization problem by replacing the lower level with its optimality conditions. Then we apply the Exact Penalization theory and Global Search theory (GST) to the resulting problem. According to the standard research of nonconvex problems by the GST, we construct the d.c. representations of all nonconvex functions from the original statement (into the differences of two convex functions), formulate the Global Optimality Conditions in terms of reduced penalized problem, and develop local and global search method taking into account the specific of problem in question. The main feature of the developed methods consists in the possibility of varying the penalty parameter within the methods themselves. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

关键词： Numerical methods

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dynamics of Bipartite Logical Networks 47

Dynamics of Bipartite Logical Networks

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47th ICT and Electronics Convention, MIPRO 2024

作者： Oparin, G.A. Bogdanova, V.G. Pashinin, A.A. Matrosov Institute For System Dynamics And Control Theory Of Sb Ras Irkutsk Russia

ISBN: (纸本)9798350382495

Based on the Boolean constraints method several problems of qualitative analysis of bipartite logical networks are solved. The dynamics of the trajectories behavior of these networks is studied over a finite time interval. A method is proposed for splitting a bipartite trajectory into two independent trajectories based on deterministic block-sequential updating of the state vectors of each part. Conditions for the existence, isolation and attraction of cyclic trajectories of a given length are obtained as Boolean constraints. The solvability of such equations reduces to the well-known Boolean satisfiability problem, effectual algorithms for solving which provide dynamic analysis for systems with high dimensionality of the state vector over large discrete time intervals. The program modules implementation for building Boolean constraints and checking their feasibility in the form of microservices ensures their reuse, simplification of deployment, updating, and high scalability in the cloud environment. Multi-agent computation management in an applied microservices package provides the non-procedural problem formulation on a distributed model of the subject area, forms and executes a scheme for solving it, and automates the additional resources provision. The practical significance of the obtained results consists in providing the opportunity for a more detailed study of dynamics of the molecular features of gene regulation networks. © 2024 IEEE.

关键词： Trajectories

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Analysis of comparative effectiveness of state-of-the-art heuristics for CDCL SAT solvers 1

Analysis of comparative effectiveness of state-of-the-art he...

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1st International Workshop on Advanced Information and Computation Technologies and systems, AICTS 2020

作者： Kochemazov, Stepan Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk Russia

The Conflict-Driven Clause Learning algorithms for solving the Boolean satisfiability problem comprise the major part of the methods used to solve various instances of the problems that arise in industry and science. In recent years there have been proposed several major heuristics for these algorithms which are assumed to be de facto good for the solvers' performance over diverse sets of benchmarks. The goal of this paper is to evaluate the contribution of each separate heuristic to the performance of a state-of-the-art solver, see the extent to which they are beneficial, and figure out if the heuristics have any particular features that need to be taken into account. © 2021 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).

关键词： Benchmarking

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Models and software for agent-based model development based on model-driven approach 1

Models and software for agent-based model development based ...

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1st Scientific-Practical Workshop on Information Technologies: Algorithms, Models, systems, ITAMS 2018

作者： Nikolaychuk, Olga A. Pavlov, Alexander I. Stolbov, Alexander B. Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk Russia

The article discusses the application of the model-driven approach in the development of agent-based simulation models, presents an overview of agent architectures, considers the updated version of the hierarchical system of metamodels for formalizing the agent-based simulation models development methodology, as well as a description of the minimum set of software tools required to develop the software system for creation the applied agent-based simulation models © 2018 CEUR-WS. All rights reserved.

关键词： Hierarchical systems

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