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Rayleigh–Ritz Operator in Inverse Problems for Higher Order Multilinear Nonautonomous Evolution Equations

Siberian Advances in Mathematics 2023年第4期33卷 329-337页

作者： Lakeyev, A.V. Linke, Yu. E. Rusanov, V.A. Matrosov Institute for System Dynamics and Control Theory Irkutsk 664033 Russian Federation

Abstract: We study solvability questions for the problem on realization of operator functions foran invariant polylinear regulator of a higher-order differential system in an infinite-dimensionalseparable Hilbert space. This is a nonstationary coefficient-operator inverse problem formultilinear evolution equations whose dynamic order is higher than one (notice thatnonautomonous hyperbolic systems belong to this class of problems). We analyze semiadditivityand continuity for a nonlinear Rayleigh–Ritz functional operator and obtain an analytic model ofan invariant polylinear regulator. This model allows us to combine two bundles of trajectorycurves induced by different invariant polylinear regulators in a differential system and obtaina family of admissible solutions of the initial differential system in terms of an invariant polylinearaction. The obtained results can be applied in the general qualitative theory of nonlinearinfinite-dimensional adaptive control systems described by higher-order multilinearnonautonomous differential systems (including neuromodelling). © 2023, Pleiades Publishing, Ltd.

关键词： functional Rayleigh–Ritz operator higher-order nonautonomous differential realization invariant polylinear regulator inverse problems for infinite-dimensional multilinear evolution equations

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High-Order Fully Actuated system Models for Strict-Feedback systems With Increasing Dimensions

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IEEE/CAA Journal of Automatica Sinica 2024年第12期11卷 2451-2462页

作者： Xiang Xu Guang-Ren Duan Shenzhen Key Laboratory of Control Theory and Intelligent Systems Southern University of Science and TechnologyShenzhen 518055 the School of System Design and Intelligent Manufacturing Southern University of Science and TechnologyShenzhen 518055China

This paper mainly addresses control problems of strict-feedback systems(SFSs)with increasing *** with the commonly-considered SFSs where the subsystems have the same dimension,we aim to handle more complex cases,i.e.,the subsystems in the considered SFSs are assumed to have increasing *** transforming the systems into highorder fully-actuated system(HOFAS)models,the stabilizing controllers can be directly *** first-order SFSs,secondorder and high-order SFSs are also considered.

关键词： Increasing dimensions high-order fully-actuated system nonlinear systems strict-feedback systems

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Visual Designing Knowledge Bases for Aircraft Diagnostics Using State Transition Diagrams

Visual Designing Knowledge Bases for Aircraft Diagnostics Us...

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2024 IEEE Ural-Siberian Conference on Biomedical Engineering, Radioelectronics and Information Technology, USBEREIT 2024

作者： Yurin, Aleksandr Yu. Dorodnykh, Nikita O. Kotlov, Yuri V. Kivokurtsev, Aleksandr L. Irkutsk Russia Matrosov Institute For System Dynamics And Control Theory Irkutsk Russia Irkutsk Russia

ISBN: (纸本)9798350362893

The development of knowledge bases for classical intelligent systems based on the formalism of logical rules remains an urgent task. One of the ways to improve the efficiency of this task is through visual programming in combination with the use of widely used graphical notations, in particular state transition diagrams. The paper considers the application of these principles in the creation of software components (a virtual assistant knowledge base) to support the diagnostics and maintenance of aircraft. The main steps of the approach are described: analysis of the domain and the allocation of basic concepts and relationships;construction of state transition diagrams using the results of the analysis;creation of elements of logical rules based on the analysis of the diagrams;and debugging and testing of the obtained knowledge base structures. An illustrative example with an indication of the recommended software is given. Based on the results of the approach, it was concluded that state transition diagrams are preferable in describing cyclic processes, as well as that they can be useful for verifying decision tables. © 2024 IEEE.

关键词： Intelligent systems

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Active Distribution Grid Risk Prevention and control Method Based on Biological Immune Mechanism 3rd

Active Distribution Grid Risk Prevention and Control Method ...

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3rd International Joint Conference on Energy, Electrical and Power Engineering, CoEEPE 2023

作者： Zhao, Hui Ma, Jun Yue, Youjun Wang, Hongjun Tianjin Key Laboratory of Complex System Control Theory and Tianjin University of Technology Tianjin China

ISBN: (纸本)9789819739394

Aiming at the insufficient optimization ability of traditional active distribution network (ADN) fault recovery, a combination of immune mechanism and immune genetic algorithm is proposed for risk prevention and control. First, a risk assessment model is constructed from the perspective of reliability of equipment operation and consequences of faults;second, for the first N scenarios with higher risk, a fault pre-recovery scheme is established with the objectives of restoring the most power supply, minimizing the number of switching times, and minimizing the network loss, and the immune genetic algorithm is used to solve the problem. The N scenarios are recorded in the set of expected incidents to expand the immune memory cell library;finally, the simulation is carried out using the IEEE 33-node distribution network model as an example, and the simulation results show the feasibility of the proposed risk prevention and control strategies and the algorithms used, which lays a foundation for the subsequent fast and accurate recovery of power supply. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.

关键词： Electric power 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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Binary Dynamic Models of Structural Synthesis of Programs 46

Binary Dynamic Models of Structural Synthesis of Programs

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46th ICT and Electronics Convention, MIPRO 2023

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)9789532331042

In this paper, we propose a matrix-vector Boolean differential model for constructing plans of computational actions in solving non-procedural problems on a computational model of a modular software system. The conditions of the problem of structural synthesis of a program from pre-implemented modules are formulated as a system of Boolean differential equations, the solutions of which, under given initial conditions (consistent with the non-procedural formulation of the problem), determine the solvability of the problem and give constructive plans for its solution (including parallel ones). The proposed method of structural synthesis is focused on high-dimensional models. It allows highly efficient software implementation due to the high parallelism of performing vector-matrix operations on binary vectors at the level of machine instructions. The developed model is used for planning computations in packages of applied microservices based on the HPCSOMAS-MSC platform. © 2023 MIPRO Croatian Society.

关键词： Differential equations

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Efficient Heuristics for a Partial Set Covering Problem with Mutually Exclusive Pairs of Facilities 1

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7th International Conference on Optimization, Simulation and control, COSC 2022

作者： Belykh, Aleksander Gruzdeva, Tatyana Ushakov, Anton Vasilyev, Igor Matrosov Institute for System Dynamics and Control Theory of SB RAS Irkutsk Russia

ISBN: (数字)9783031412295

ISBN: (纸本)9783031412288

Set cover problems are among the most popular and well-studied models in facility location. In this paper, we address an extension of the set covering and partial set covering problems. We suppose that a set of customers to be served is divided into two non-overlapped subsets: "mandatory" customers who must always be covered and "optional" customers who do not require obligatory coverage. To avoid a trivial solution that covers only customers from H, we suppose that the number of covered optional customers must be at least larger than a pre-defined threshold In the real world, local laws may prohibit location of a large number of facilities in some places to reduce harm to people and/or nature. To reflect that fact our problem involves pairs of facilities that are mutually exclusive, hence if a facility from such a pair is located, another one is prohibited. We formulate this problem as an integer linear program and develop and implement several fast heuristic approaches capable of finding high-quality solutions of large-scale problem instances arisen in real-life settings. In particular, we develop a hybrid heuristic involving a greedy algorithm and local search embedded into a variable neighborhood framework. We test our algorithms in a series of intensive computational experiments on both real-life problems and synthetically generated instances. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.

关键词： Location

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A Three-Stage Numerical Approach to the Study of Extra-Large Atomic-Molecular Clusters 15th

A Three-Stage Numerical Approach to the Study of Extra-La...

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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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Convective drying of wood chips:Accelerating coupled DEM-CFD simulations with parametrized reduced single particle models

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Particuology 2024年第1期84卷 158-167页

作者： Lucas Reineking Jonas Fischer Ali Mjalled Enric Illana Siegmar Wirtz Viktor Scherer Martin Monnigmann Automatic Control and System Theory Ruhr-Universität-BochumUniversitätstraße 150Bochum44801Germany Energy Plant Technology Ruhr-Universität-BochumUniversitätstraße 150Bochum44801Germany

The simulation of industry-scale reactive bulks is challenging due to the complex interaction between fluid and *** particles in the bulk and their interaction with the fluid flow can be described by combined Discrete Element Method-Computational Fluid Dynamics(DEM-CFD)***,the computational cost of the Finite Volume(FV)methods deployed in these models can become prohibi-tively expensive,especially for high inner-particle *** particle Reduced Models(RMs)can be used to achieve both fast and accurate descriptions of the processes in each *** an example of bulk systems comprising heat and mass transfer,we compared FV and RM simulations for the drying of wood chips in a bulk reactor.A manifold-based nonlinear interpolation was applied to resolve changing boundary conditions for the *** simulations showed that RMs provide accurate values for the thermodynamic state variables of the ***,the time required for the bulk simulation was reduced by 67%with the *** is evident that simulations with high inner-particle resolution can be accelerated by RMs if manifold-based nonlinear interpolation is used to address changing boundary conditions.

关键词： Reduced model Reactive bulk Discrete element method Manifold-based interpolation Drying of porous mediaDEM-CFD

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Model-Based Optimization of Vaccination Strategies in Different Phases of Pandemic Virus Spread 18th

Model-Based Optimization of Vaccination Strategies in Diff...

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18th International Conference on Informatics in control, Automation and Robotics, ICINCO 2021

作者： Liu, Zonglin Omayrat, Muhammed Stursberg, Olaf Control and System Theory Department of Electrical Engineering and Computer Science University of Kassel Kassel Germany

ISBN: (纸本)9783031264733

This paper aims at applying optimal control principles to investigate optimal vaccination strategies in different phases of a pandemic. Background of the study is that many countries have started their vaccination procedures against the COVID-19 disease in the beginning of 2021, but supply shortages for the vaccines prevented that everyone could be vaccinated immediately. At the beginning of 2022, in contrast, the vaccine supply was ample, but the effectiveness of different existing vaccines to avoid infection by new virus variants was in doubt, as well as the acceptance of booster doses decreased over time. To account for these effects, two formulations of optimization tasks based on different epidemic models are proposed in this paper. The solution of these tasks determines optimal distribution strategies for available vaccines, and optimized vaccination schemes to reduce the need of booster doses for later phase. Effectiveness of these strategies compared with other popular strategies (as applied in practice) is demonstrated through a series of simulations © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

关键词： Vaccines

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