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arXiv 2023年

作者： Markov, Yu.A. Markova, M.A. Markov, N.Yu. Matrosov Institute for System Dynamics and Control Theory Siberian Branch Russian Academy of Sciences Irkutsk664033 Russia

Hamiltonian theory for collective longitudinally polarized gluon excitations (plasmons) interacting with classical high-energy test color-charged particle propagating through a high-temperature gluon plasma is developed. A generalization of the Lie-Poisson bracket to the case of a continuous medium involving bosonic normal field variable aka and a non-Abelian color charge Qa is performed and the corresponding Hamilton equations are presented. The canonical transformations including simultaneously both bosonic degrees of freedom of the soft collective excitations and degree of freedom of hard test particle connecting with its color charge in the hot gluon plasma are written out. A complete system of the canonicity conditions for these transformations is derived. The notion of the plasmon number density Nkaa′ , which is a nontrivial matrix in the color space, is introduced. An explicit form of the effective fourth-order Hamiltonian describing the elastic scattering of a plasmon off a hard color particle is found and the self-consistent system of Boltzmann-type kinetic equations taking into account the time evolution of the mean value of the color charge of the hard particle is obtained. On the basis of these equations, a model problem of the interaction of two infinitely narrow wave packets is considered. A system of nonlinear first-order ordinary differential equations defining the dynamics of the interaction of the colorless Nkl and color Wkl components of the plasmon number density is derived. The problem of determining the third- and fourth-order coefficient functions entering into the canonical transformations of the original bosonic variable aka and color charge Qa is discussed. With the help of the coefficient functions obtained, a complete effective amplitude of the elastic scattering of plasmon off hard test particle is written out. © 2023, CC BY.

关键词： Hamiltonians

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Criterion of Internal Stability of Linear Formations

arXiv

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arXiv 2024年

作者： Lakeyev, A.V. Criterion of Internal Stability of Linear Formations Matrosov Institute for System Dynamics and Control Theory Siberian Branch of Russian Academy of Sciences Irkutsk Russia

The necessary and sufficient conditions of internal stability for the formations, whose dynamics is defined by linear differential equations, have been obtained. In this case, programmed controls have been chosen in the capacity of the classes of admissible controls for the leaders;while in the case of objects having leaders for them - affine feedbacks dependent on the state of the object itself and on the states of its leaders have been chosen. The conditions obtained may be easily verified and consist of the requirements of (i) stabilizability of the pair of matrices for the equations of the follower objects, (ii) Hurwitz character and (iii) coincidence of the matrices for the leaders in the case of numerous leaders (the multileader case), (iv) solvability of some linear equations and constraints (of the type of equalities) upon the vectors defining the desired mutual location between the leader and the follower. Furthermore, the whole class of controls, which provide for satisfaction of the linear internal stability, has been described. While relying upon the conditions obtained, it was demonstrated that practically only one-leader formations can possess internal stability. We have identified a subclass (the formations whose graph is the input tree) in the class with one leader, in which there are no constraints of the type of equalities, that represent the main problem (obstacle) for the internal stability of multi-leader *** Codes 93A16, 93C15, 93D20 Copyright © 2024, The Authors. All rights reserved.

关键词： Matrix algebra

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Confining modeling of quark propagator

arXiv

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arXiv 2024年

作者： Radzhabov, A.E. Shang, X.L. Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk664033 Russia Institute of Modern Physics Chinese Academy of Sciences Lanzhou730000 China

A confining extension of the quark model with nonlocal currents is proposed. The quark propagator is modified by introducing a cut in α-space, which in momentum space corresponds to the subtraction of pole singularities. A two-phase phase structure is proposed for modeling the confinement-deconfinement phase transition. In the confined phase, the quark propagator does not have any pole singularities, while in the deconfined phase, there is a single quark pole. Copyright © 2024, The Authors. All rights reserved.

关键词： Poles

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How To Classify Document Segments Using Graph Based Representation and Neural Networks

How To Classify Document Segments Using Graph Based Represen...

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Ivannikov Memorial Workshop (IVMEM)

作者： Daniil Kopylov Andrey Mikhaylov Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of the Russian Academy of Sciences Irkutsk Russian Federation Ivannikov Institute for System Programming of the Russian Academy of Sciences Moscow Russian Federation

ISBN: (数字)9798331504663

ISBN: (纸本)9798331504670

Bottom-up segmentation approaches, where words are combined into lines, lines into paragraphs, etc., are well-known nowadays. In this work, we use this principle for classification of segments. The features of the blocks that make up a segment and their relationships can be sufficient for classification. Our approach combines a specific choice of features that increases explainability by employing the generalizing ability of neural networks. This work presents an intermediate result, but, nevertheless, the 0.793 classification accuracy on the part of PubLayNet indicates the competitive potential of the approach. It is expected that, similar to the transition from MLP to CNN for MNIST, the transition from vector representation at our stage to GCN at the planned stage will allow us to achieve good results in document classification.

关键词： Image segmentation Accuracy Conferences Neural networks Layout Vectors

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Volterra Series Models for Nonlinear Automatic control systems

Volterra Series Models for Nonlinear Automatic Control Syste...

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International Russian Automation Conference (RusAutoCon)

作者： Svetlana Solodusha Evgeniia Markova Yuliya Kokonova Melentiev Energy Systems Institute SB RAS Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk Russia Irkutsk National Research Technical University

ISBN: (数字)9798350349818

ISBN: (纸本)9798350349825

The paper presents algorithms for constructing nonlinear integral models based on the Volterra series tool. Modeling of dynamic processes means assessing the response to possible external changes in real time. The vector of input signals may include measured influences and control actions to be identified based on an analysis of the current state. We use identification algorithms based on the theory of Volterra polynomial equations of the first kind. An approach to the approximate solution to selected types of nonlinear systems of Volterra integral equations using the Newton-Kantorovich method is presented. We use the numerical solution to the corresponding linear system of equations as a trial solution. Calculation schemes obtained with help the standard quadrature methods are given.

关键词： Heuristic algorithms Integral equations Mathematical models Polynomials Vectors Real-time systems Power systems Numerical models Standards Resistance heating

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Estimation of water quality parameters from space images 1

Estimation of water quality parameters from space images

引用

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

作者： Popova, A.K. Matrosov Institute for System Dynamics and Control Theory SB RAS 134 Lermontova Street Irkutsk664033 Russia

Water quality affects many human activities. Remote sensing is efficient and economical instrument for water monitoring. The paper investigates the problem of choosing an algorithm for Chl-a concentration determination. In this study, we made calculations for Multispectral Instrument (MSI) on Sentinel-2 for Lake Baikal by different empirical algorithms and C2RCC tool. We choose 3 band combination that have high correlation with in situ data of Chl-a. Resultant distribution map display spatial dynamics of Chl-a in the lake. Our research is intended to help environmental scientist to assess pollution level of the Lake Baikal and interpret the ecological meaning of results. © 2021 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).

关键词： Water quality

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A Computational Study of the DC Minimization Global Optimality Conditions Applied to K-Means Clustering 12th

A Computational Study of the DC Minimization Global Optimali...

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12th International Conference on Optimization and Applications, OPTIMA 2021

作者： Gruzdeva, Tatiana V. Ushakov, Anton V. Matrosov Institute for System Dynamics and Control Theory of SB RAS 134 Lermontov Street Irkutsk664033 Russia

ISBN: (纸本)9783030910587

Clustering is traditionally one of the basic tools of data analysis widely applied in diverse fields. By now, one of the most common clustering models is the Euclidean minimum-sum-of-squares clustering problem (MSSC). Consequently, Lloyd’s algorithm, often referred to as k-means, is probably the most popular clustering algorithm. Despite its popularity, Lloyd’s algorithm is a local search heuristic for MSSC that in general converges to local optima only. In this paper, we aim at enhancing k-means by employing the global optimality conditions for MSSC represented as a problem with DC (difference of convex) functions. We then embed the k-means algorithm into the so-called global search framework for DC minimization problems where it is employed to find local optimal solutions. We tested such an improved implementation of k-means in a series of computation experiments on well-known test library of medium-size datasets and compared it with the conventional k-means and k-means++ algorithms. © 2021, Springer Nature Switzerland AG.

关键词： K-means clustering

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Positively Constructed Formulas-Based Approach to Mobile Robot control Using des 44

Positively Constructed Formulas-Based Approach to Mobile Rob...

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44th International Convention on Information, Communication and Electronic Technology, MIPRO 2021

作者： Davydov, Artem Larionov, Aleksandr Nagul, Nadezhda Matrosov Institute for System Dynamics and Control Theory Siberian Branch of the Russian Academy of Sciences Irkutsk664033 Russia

ISBN: (纸本)9789532331011

The paper describes the principles of the implementation of supervisors for discrete event systems, designed with the help of automatic theorem proving in the calculus of positively constructed formulas. The main advantage of the proposed approach is the ability to carry out complex evaluations of events on the base of the current state of the system. Computable predicates are also may be employed, definitions of which are based on the data coming from external sources. As an illustrative example a mobile robot movement in an unknown environment is considered. © 2021 Croatian Society MIPRO.

关键词： Discrete event simulation

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On First Integrals and Invariant Manifolds in the Generalized Problem of the Motion of a Rigid Body in a Magnetic Field 1

引用

23rd International Workshop on Computer Algebra in Scientific Computing, CASC 2021

作者： Irtegov, Valentin Titorenko, Tatiana Institute for System Dynamics and Control Theory SB RAS 134 Lermontov str. Irkutsk664033 Russia

ISBN: (数字)9783030851651

ISBN: (纸本)9783030851644

Differential equations describing the motion of a rigid body with a fixed point under the influence of both a magnetic field generated by the Barnett–London effect and potential forces are analyzed. We seek first integrals and invariant manifolds of the equations in the form of polynomials of the second, third, and fourth degrees and conduct the qualitative analysis of the equations in the found particular cases of the existence of additional integrals. Special solutions are found from the necessary extremum conditions of the integrals and their Lyapunov stability is investigated. Computer algebra methods such as the reduction of a polynomial with respect to a list of polynomials, the Gröbner basis method, etc. are used to obtain the integrals and manifolds and to analyze the equations. © 2021, Springer Nature Switzerland AG.

关键词： Polynomials

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Computational Study of Local Search Methods for a D.C. Optimization Problem with Inequality Constraints 12th

Computational Study of Local Search Methods for a D.C. Optim...

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12th International Conference on Optimization and Applications, OPTIMA 2021

作者： Barkova, M.V. Strekalovskiy, A.S. Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences Irkutsk664033 Russia

ISBN: (纸本)9783030910587

This paper addresses a nonconvex optimization problem where the cost function and inequality constraints are d.c. functions. Two special local search methods based on the idea of the consecutive solution of partially linearized problems are developed. The latter problems turn out to be convex and therefore solvable with the help of software packages for convex optimization. The first method linearizes both the objective function of the problem and all constraints functions. The second approach is based on the reduction of the original problem to a penalized problem without constraints via the exact penalization theory. The methods developed were computationally tested on some well-known test examples and specially generated problems with known local and global solutions. © 2021, Springer Nature Switzerland AG.

关键词： Convex optimization

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