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arXiv 2021年

作者： Timoshin, Sergey A. Bin, Chen Fujian Province University Key Laboratory of Computational Science School of Mathematical Sciences Huaqiao University Quanzhou362021 China Matrosov Institute for System Dynamics and Control Theory Russian Academy of Sciences Lermontov str. 134 Irkutsk664033 Russia

This paper addresses a nonlinear partial differential control system arising in population dynamics. The system consist of three diffusion equations describing the evolutions of three biological species: prey, predator, and food for the prey or vegetation. The equation for the food density incorporates a hysteresis operator of generalized stop type accounting for underlying hysteresis effects occurring in the dynamical process. We study the problem of minimization of a given integral cost functional over solutions of the above system. The set-valued mapping defining the control constraint is state-dependent and its values are nonconvex as is the cost integrand as a function of the control variable. Some relaxation-type results for the minimization problem are obtained and the existence of a nearly optimal solution is established. Copyright © 2021, The Authors. All rights reserved.

关键词： Hysteresis

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Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen

arXiv

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arXiv 2018年

作者： Dorokhov, A.E. Kochelev, N.I. Martynenko, A.P. Martynenko, F.A. Radzhabov, A.E. Joint Institute of Nuclear Research BLTP Moscow region Dubna141980 Russia Institute of Modern Physics Chinese Academy of Sciences Lanzhou730000 China Samara University Samara443086 Russia Matrosov Institute for System Dynamics and Control Theory SB RAS Irkutsk664033 Russia

In the framework of the quasipotential method in quantum electrodynamics we calculate corrections to the nuclear structure proportional to r2Nfrom two-photon exchange amplitudes in the fine and hyperfine structure of P-states in muonic hydrogen, as well as the photon-photon interaction amplitudes, leading to the exchange of the axial vector meson. In constructing the quasipotential of the muon-nucleus interaction, we use the method of projection operators on states of two particles with a definite spin and total angular momentum. Analytical calculation of the matrix elements is performed and contributions to the fine and hyperfine structure of the 2P1/2and 2P3/2levels are obtained. Copyright © 2018, The Authors. All rights reserved.

关键词： Atomic physics

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Non-convex Optimization in Digital Pre-distortion of the Signal 1

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20th International Conference on Mathematical Optimization theory and Operations Research , MOTOR 2021

作者： Maslovskiy, Alexander Pasechnyuk, Dmitry Gasnikov, Alexander Anikin, Anton Rogozin, Alexander Gornov, Alexander Antonov, Lev Vlasov, Roman Nikolaeva, Anna Begicheva, Maria Moscow Institute of Physics and Technology 9 Institutskiy per. Dolgoprudny141701 Russia Matrosov Institute for System Dynamics and Control Theory 134 Lermontov Street Irkutsk664033 Russia Russian Research Institute Huawei Moscow Russia Institute for Information Transmission Problems RAS Bolshoy Karetny per. 19 build.1 Moscow127051 Russia Caucasus Mathematical Center Adyghe State University 208 Pervomayskaya Street Maykop385000 Russia Skolkovo Institute of Science and Technology Bolshoy Boulevard 30 bld. 1 Moscow121205 Russia

ISBN: (数字)9783030864330

ISBN: (纸本)9783030864323

This paper reviews application of modern optimization methods for functionals describing Digital Pre-distortion (DPD) of signals with orthogonal frequency division multiplexing (OFDM) modulation. The considered family of model functionals is determined by the class of cascade Wiener–Hammerstein models, which can be represented as a computational graph consisting of various nonlinear blocks. To assess optimization methods with the best convergence depth and rate as a properties of this models family, we multilaterally consider modern techniques used in optimizing neural networks and numerous numerical methods used to optimize non-convex multimodal functions. The research emphasizes the most effective of the considered techniques and describes several useful observations about the model properties and optimization methods behavior. © 2021, Springer Nature Switzerland AG.

关键词： Orthogonal frequency division multiplexing

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Predicting of air pollutant concentrations based on spatio-temporal attention convolutional LSTM networks 1

Predicting of air pollutant concentrations based on spatio-t...

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

作者： Jiang, Peng Bychkov, Igor Liu, Jun Hmelnov, Alexei Department of Science and Technology Cooperation Westlake University No.18 Shilong Mountain Street Xihu District Hangzhou China "the Belt and Road" Institute for Information Technology Hangzhou Dianzi University No.115 Wenyi Road Xihu District Hangzhou China Hangzhou Dianzi University No.1158 Number Two Street Jianggan District Hangzhou China Matrosov Institute for System Dynamics and Control Theory Siberian Branch Russian Academy of Sciences 134 Lermontov st. Irkutsk Russia

Forecasting of air pollutant concentration, which is influenced by air pollution accumulation, traffic flow and industrial emissions, has attracted extensive attention for decades. In this paper, we propose a spatio-temporal attention convolutional long short term memory neural networks (Attention-CNN-LSTM) for air pollutant concentration forecasting. Firstly, we analyze the Granger causalities between different stations and establish a hyperparametric Gaussian vector weight function to determine spatial autocorrelation variables, which is used as part of the input feature. Secondly, convolutional neural networks (CNN) is employed to extract the temporal dependence and spatial correlation of the input, while feature maps and channels are weighted by attention mechanism, so as to improve the effectiveness of the features. Finally, a depth long short term memory (LSTM) based time series predictor is established for learning the long-term and short-term dependence of pollutant concentration. In order to reduce the effect of diverse complex factors on LSTM, inherent features are extracted from historical air pollutant concentration data meteorological data and timestamp information are incorporated into the proposed model. Extensive experiments were performed using the Attention-CNN-LSTM, autoregressive integrated moving average (ARIMA), support vector regression (SVR), traditional LSTM and CNN, respectively. The results demonstrated that the feasibility and practicability of Attention-CNN-LSTM on estimating CO and NO concentration. © 2021 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).

关键词： Long short-term memory

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Synthesis of a combined precision stabilization system for a space telescope

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AIP Conference Proceedings 2012年第1期1493卷 1059-1065页

作者： R. I. Kozlov E. I. Druzhynin S. A. Ulyanov V. A. Voronov B. B. Belyaev Institute for System Dynamics and Control Theory Lermontov St. 134 664033 Irkutsk Russia Lavochkin Research and Production Association Leningradskaya St. 24 141400 Khimki Russia

Some results of the investigation related to design of a precision stabilization system for a high-orbit space telescope with flexible elements, whose contribution to the inertia tensor reaches 80%, are discussed. The stabilization system represents a combined control system with open and closed control loops, in which the actuators are represented by a gyro system having four control moment gyros and four reactive wheels. The open loop control is employed to orient the telescope’s optical axis to the attraction domain in accordance with the feedback control law. The closed loop is used both in the slewing mode for stabilizing programmed motions and in the basic (fine pointing) mode.

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Continuous selections via geodesics

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Topological Methods in Nonlinear Analysis 2001年第1期18卷 171-182页

作者： Giovanni Colombo Vladimir V. Goncharov Dipartimento di Matematica Pura e Applicata Universita di Padova Departamento de Matematica Universidade de Evora Institute of System Dynamics and Control Theory Russian Academy of Sciences

Some continuous selection results for a class of nonconvex-valued maps are obtained. One of them contains Michael's theorem, in the case of a Hilbert codomain. Methods of nonsmooth analysis and Γ-convergence are ... 详细信息

关键词： Distance functions Metric projection continuous dependence of geodesics φ-convex sets

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Pauli form factor of quark and nontrivial topological structure of the QCD

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Physical Review D 2017年第5期96卷 054030-054030页

作者： Baiyang Zhang Andrey Radzhabov Nikolai Kochelev Pengming Zhang Institute of Modern Physics Chinese Academy of Sciences Lanzhou 730000 China University of Chinese Academy of Sciences Beijing 100049 China Matrosov Institute for System Dynamics and Control Theory SB RAS Lermontov street 134 664033 Irkutsk Russia Bogoliubov Laboratory of Theoretical Physics Joint Institute for Nuclear Research Dubna Moscow Region 141980 Russia

We calculate the electromagnetic Pauli form factor of quark induced by the nontrivial topological fluctuations of QCD vacuum called instantons. It is shown that such a contribution is significant. We discuss the possible implications of our result in the photon-hadron reactions and in the dynamics of quark-photon interactions in the dense/hot quark matter.

关键词： Effective field theory Form factors Instantons Particle interactions Quark model

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Academician V.M. matrosov: Research and Teaching on Stability, Nonlinear dynamics and control in Aerospace systems

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IFAC Proceedings Volumes 2012年第11期45卷 7-12页

作者： G. Degtyarev E. Druzhynin R. Kozlov L. Kuzmina T. Sirazetdinov Ye. Somov S. Vassilyev A. Zemlyakov Tupolev Kazan National Research Technical University (KSTU-KAI) Institute of System Dynamics and Control Theory Siberian Branch Russian Academy of Sciences (RAS) Samara State Technical University (SamSTU) Trapeznikov Institute of Control Sciences (ICS) the RAS

Academician ***'s scientific contribution to the development of A.M. Lyapunov stability theory is considered. His research results and teaching activity on stability, nonlinear dynamics and control in aerospace sy... 详细信息

关键词： Research teaching stability control aerospace

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Feedback maximum principle for ensemble control of local continuity equations. An application to supervised machine learning

arXiv

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arXiv 2021年

作者： Staritsyn, Maxim Pogodaev, Nikolay Chertovskih, Roman Pereira, Fernando Lobo Faculdade de Engenharia Universidade do Porto Rua Dr. Roberto Frias s/n Porto4200-465 Portugal Matrosov Institute for System Dynamics and Control Theory of SB RAS 134 Lermontov st. Irkutsk664033 Russia

We consider an optimal control problem for a system of local continuity equations on a space of probability measures. Such systems can be viewed as macroscopic models of ensembles of non-interacting particles or homotypic individuals, representing several different "populations". For the stated problem, we propose a necessary optimality condition, which involves feedback controls inherent to the extremal structure, designed via the standard Pontryagin's Maximum Principle conditions. This optimality condition admits a realization as an iterative algorithm for optimal control. As a motivating case, we discuss an application of the derived optimality condition and the consequent numeric method to a problem of supervised machine learning via dynamic systems. Copyright © 2021, The Authors. All rights reserved.

关键词： Maximum principle

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Generation technique for Django MVC web framework using the stratego transformation language

Generation technique for Django MVC web framework using the ...

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Proceedings of the International Convention MIPRO

作者： D.V. Annenkov E.A. Cherkashin National Research Irkutsk State Technical University Russia Institute of System Dynamics and Control Theory SB Russian Academy of Sciences Irkutsk Russia

Domain Specific Languages (DSL) allows one to raise level of abstraction, improve development productivity, and establish an equitable communication between domain experts and developers. Language-oriented programming (LOP) is a new paradigm based on DSL construction, allowing separating domain-specific and technology-specific aspects of a system under development. LOP shares some ideas with model-driven architecture and model-driven development. Spoofax language workbench is used as a primary tool for DSL design, and based on Stratego, a transformation language with programmable rewriting strategies, and Syntax Definition Formalism as language for grammar definition. As an example of DSL a simple textual language for domain modeling is considered. Rewriting rules and strategies are used as an uniform approach to generate, validate DSL code, and make arbitrary abstract syntax tree transformations. Rules for code generation implemented using so called “string interpolation” technique. Source DSL code translated to python code that can be deployed within Django web framework resulting to a web-application with create/update/delete functionality on a corresponding database. Developed DSL is an example of “definition by transformation“ approach. To get real benefits from DSL we need to add more domain specific features in DSL.

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