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Physical Review D 2024年第1期109卷 015015-015015页

作者： Alexey S. Zhevlakov Dmitry V. Kirpichnikov Valery E. Lyubovitskij Bogoliubov Laboratory of Theoretical Physics JINR 141980 Dubna Russia Matrosov Institute for System Dynamics and Control Theory SB RAS Lermontov str. 134 664033 Irkutsk Russia Institute for Nuclear Research of the Russian Academy of Sciences 117312 Moscow Russia Institut für Theoretische Physik Universität Tübingen Kepler Center for Astro and Particle Physics Auf der Morgenstelle 14 D-72076 Tübingen Germany Departamento de Física y Centro Científico Tecnológico de Valparaíso-CCTVal Universidad Técnica Federico Santa María Casilla 110-V Valparaíso Chile Millennium Institute for Subatomic Physics at the High-Energy Frontier (SAPHIR) of ANID Fernández Concha 700 Santiago Chile

We study the possible impact of dark photons on lepton flavor phenomenology. We derive the constraints on nondiagonal dark photon couplings with leptons by analyzing corresponding contributions to lepton anomalous magnetic moments, rare lepton decays, and the prospects of fixed-target experiments aimed at searching for light dark matter based on missing energy/momentum techniques.

关键词： Extensions of gauge sector Phenomenology Weakly interacting massive particles Hypothetical gauge bosons

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Fermion propagator diagonalization and eigenvalue problem

arXiv

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arXiv 2021年

作者： Dolzhikov, D.A. Kaloshin, A.E. Lomov, Vladimir P. Joint Institute for Nuclear Research Dubna141980 Russia Irkutsk State University Irkutsk664003 Russia Institute for System Dynamics and Control Theory RAS Irkutsk664033 Russia

We discuss diagonalization of propagator for mixing fermions system based on the eigenvalue problem. The similarity transformation converting matrix propagator into diagonal form is obtained. The suggested diagonalization has simple algebraic properties for on-shell fermions and can be used in renormalization of fermion mixing matrix. Copyright © 2021, The Authors. All rights reserved.

关键词： Mixing

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Analytical and Numerical Construction of Heat Wave Type Solutions to the Nonlinear Heat Equation with a Source

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Journal of Mathematical Sciences (United States) 2019年第2期239卷 111-122页

作者： Kazakov, A.L. Kuznetsov, P.A. Spevak, L.F. Matrosov Institute for System Dynamics and Control Theory SB RAS 134 Lermontov St Irkutsk 664033 Russian Federation Institute of Engineering Science UB RAS 91 Pervomaiskaya St Ekaterinburg 620219 Russian Federation

For a nonlinear parabolic heat equation we construct a heat wave type solution composed of the zero and nonnegative solutions joined continuously along the wave front. We prove the existence and uniqueness of an analytic solution to the problem with a given wave front in the cases of plane, circular, and spherical symmetry. The solution is constructed in the form of a characteristic series with recurrently defined coefficients. In the case of a power source, we show that the original problem can be reduced to the Cauchy problem for a second order ordinary differential equation and the solution is invariant. We present numerical results verified by using the constructed analytic solutions. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

关键词： wave fronts SGCG gene Electric Power Source waves Ordinary differential equation PROBLEM SOLUTION Solution Solutions waveforms heat uniqueness Cauchy problem original problem Invariant Heat equations

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Dynamic Programming and control Synthesis for Variational Problems with Polynomial Impulses

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IFAC-PapersOnLine 2018年第32期51卷 304-309页

作者： Goncharova, Elena V. Staritsyn, Maxim V. Matrosov Institute for System Dynamics and Control Theory of the Siberian Branch of the Russian Academy of Sciences Irkutsk Russia

The paper suggests a framework of control synthesis (feedback) for differential systems driven by nonlinear impulses. We propose a simple but relevant notion of control synthesis and a related concept of sampling solution. For extremal problems stated for input-polynomial systems, we fix two connected issues: establish the dynamic programming principle, including the characterization of the value function and verification theorem (sufficient optimality condition), and design an optimal synthesis procedure. Finally, we discuss a different, to some extent “dual” to the verification theorem, issue — a sufficient condition for non-optimality, — which performs an application of the control synthesis to discarding non-optimal extrema of the impulsive maximum principle. © 2018

关键词： Dynamic programming Feedback Feedback control control synthesis Impulsive controls necessary Optimal controls Sufficient optimality conditions

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On a Class of Impulsive control Problems for Continuity Equations

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IFAC-PapersOnLine 2018年第32期51卷 468-473页

作者： Staritsyn, Maxim V. Pogodaev, Nikolay I. Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of the Russian Academy of Sciences Irkutsk Russia

The talk presents a class of singular control problems for the continuity equation driven by a control-affine vector fields subject to a constraint on the Li-norm of control inputs, ranged in the whole space. Solutions of such distributed systems may occur to be arbitrary close (in a certain natural sense) to discontinuous measure-valued functions, and — as a consequence — related extremal problems are generically ill-posed. In connection with the addressed model, we discuss the following control-theoretical issues: i) relaxation of the tube of solutions in an appropriate coarse topology; ii) representation of generalized (discontinuous in time) solutions in terms of continuous arcs through a discontinuous time reparameterization of the characteristic ordinary differential equation, and iii) a constructive formula for generalized solutions. For the relaxed model, we state an optimal impulsive ensemble control problem and ensure the existence of a minimizer. Finally, we elaborate a conceptual numeric technique for optimal control and exhibit a case study. © 2018

关键词： Topology Ordinary differential equations Vector spaces Continuity equations Distributed systems Generalized solution Impulsive controls Numeric techniques Optimal controls Reparameterization uncertainty

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Robust controllability of Linear Differential-Algebraic Equations with Unstructured Uncertainty

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Journal of Applied and Industrial Mathematics 2018年第3期12卷 519-530页

作者： Petrenko, P.S. Matrosov Institute of System Dynamics and Control Theory ul. Lermontov 134 Irkutsk664033 Russia

We consider the linear stationary systems of ordinary differential equations (ODEs) that are unsolvedwith respect to the derivative of the unknown vector-function and degenerate identically in the domain of definition. These systems are usually called differential-algebraic equations (DAEs). The measure of how a system of DAEs is unsolved with respect to the derivative is an integer which is called the index of the system of DAEs. The analysis is carried out under the assumption of existence of a structural form with separated differential and algebraic subsystems. We investigate the robust controllability of these systems (controllability in the conditions of uncertainty). The sufficient conditions for the robust complete and R-controllability of a system of DAEs with the indices 1 and 2 are obtained. © 2018, Pleiades Publishing, Ltd.

关键词： controllability

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Supercomputer Engineering for Supporting Decision-making on Energy systems Resilience

Supercomputer Engineering for Supporting Decision-making on ...

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International Conference on Application of Information and Communication Technologies (AICT)

作者： Igor Bychkov Alexander Feoktistov Sergey Gorsky Alexei Edelev Ivan Sidorov Roman Kostromin Evgeniy Fereferov Roman Fedorov Matrosov Institute for System Dynamics and Control Theory of the Siberian Branch of the Russian Academy of Sciences Irkutsk Russia Melentiev Energy Systems Institute of the Siberian Branch of the Russian Academy of Sciences Irkutsk Russia

ISBN: (数字)9781728173863

ISBN: (纸本)9781728173870

We propose a new approach to creating a subject-oriented distributed computing environment. Such an environment is used to support decision-making in solving relevant problems of ensuring energy systems resilience. The proposed approach is based on the idea of advancing and integrating the following important capabilities in supercomputer engineering: continuous integration, delivery, and deployment of the system and applied software, high-performance computing in heterogeneous environments, multi-agent intelligent computation planning and resource allocation, big data processing and geo-information servicing for subject information, including weakly structured data, and decision-making support. This combination of capabilities and their advancing are unique to the subject domain under consideration, which is related to combinatorial studying critical objects of energy systems. Evaluation of decision-making alternatives is carrying out through applying combinatorial modeling and multi-criteria selection rules. The Orlando Tools framework is used as the basis for an integrated software environment. It implements a flexible modular approach to the development of scientific applications (distributed applied software packages).

关键词： Fault tolerance Software packages Computational modeling Decision making Tools Supercomputers Distributed computing

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First Integrals and Periodic Solutions of a system with Power Nonlinearities

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Journal of Applied and Industrial Mathematics 2018年第1期12卷 70-83页

作者： Kosov, A.A. Semenov, E.I. Matrosov Institute for System Dynamics and Control Theory ul. Lermontova 134 Irkutsk664033 Russia

Under consideration is some system of ordinary differential equations with power nonlinearities. These systems are widely used in mathematical biology and chemical kinetics, and can also occur by reduction of more sophisticatedmodels. We formulate conditions on the system parameters which guarantee the existence of first integrals defined by the combinations of power and logarithmic functions of the phase variables. Using the first integrals, we construct periodic solutions for the three-variable systems. A few examples are given illustrating the results. © 2018, Pleiades Publishing, Ltd.

关键词： Ordinary differential equations

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Distributed model of space exploration by two types of interacting robots and its exact solutions

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Journal of Physics: Conference Series 2021年第1期1847卷

作者： A Kosov E Semenov Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences 664033 Irkutsk Russia

A system of nonlinear parabolic differential equations is being studied, considered as a distributed mathematical model of the process of examining three-dimensional space by interacting robots of two types. Parametric families of exact solutions have been built that can be used to form the control of the survey process by creating the necessary densities at the border of the area that is the base for robots.

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The analysis of current neural network configuration used to predict the critical frequency FoF2 of the ionosphere 3

The analysis of current neural network configuration used to...

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3rd International Workshop on Data Life Cycle in Physics, DLC 2019

作者： Salimov, Boris Hmelnov, Aleksei Berngardt, Oleg Institute of Solar-Terrestrial Physics of Siberian Branch of Russian Academy of Sciences Irkutsk Russia Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences Irkutsk Russia

Ionosphere is the ionized part of the upper atmosphere containing free electrons and ions. The critical frequency (foF2) is one of the most important parameters of the ionospheric electron density, which affects the functionality of radio communication and navigation equipment. This frequency is a very variable parameter, which depends on various geophysical parameters. Therefore, improving the accuracy of predicting the critical frequency foF2 of the ionosphere is of great importance for the proper operation of radio communication and navigation equipment. Various physical and empirical models are used to predict this parameter. The large amount of observational data and development of modern machine learning algorithms make it possible to use new approaches for predicting ionospheric parameters. In the paper we analyzed a neural network created for predicting foF2 measured by Irkutsk Digisonde, as a function of various geophysical parameters. We studied the contribution of these parameters to the predicted foF2 frequency. It was shown that the critical frequency of foF2 most strongly depends on 10.7 cm solar radiation and on the local solar time. © 2019 CEUR-WS. All rights reserved.

关键词： Ionosphere

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