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45th Jubilee International Convention on Information, Communication and Electronic Technology, MIPRO 2022

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)9789532331035

It is usual to classify the automated searching of a plan as an artificial intelligence problem. In planning, the environment is defined as a set of both states and transitions between them. Planning consists in searching for a finite transitions sequence (actions) that transfers the initial state to one of the states, satisfying the objective. As a model of the planning environment, we propose to use implicit Boolean networks - binary dynamic systems, the transition function of which is defined by the implicit Boolean equation relative to the current state variables vector and some subsequent variables vectors. For this model, the forming of a plan is reduced to qualitative analysis of dynamic properties of the implicit binary dynamic system. In particular, these are reachability or cyclicity properties over a given discrete time interval. At the final stage of this method, the verification of the Boolean formula satisfiability is performed. This formula includes the equation of the dynamics of the implicit Boolean network and the specification of the dynamical property being verified. The considered approach is demonstrated on the problem of planning a river crossing and constructing a Hamiltonian cycle in a graph. A specialized parallel algorithm for solving deeply structured Boolean satisfiability problems is proposed, which provides scalability with an increase in their dimension. © 2022 Croatian Society MIPRO.

关键词： Hamiltonians

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Volterra Series Models for Nonlinear Automatic control systems

Volterra Series Models for Nonlinear Automatic Control Syste...

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2024 International Russian Automation Conference, RusAutoCon 2024

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

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. © 2024 IEEE.

关键词： Integral equations

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On some properties of the Fredholm-type integral algebraic equations

On some properties of the Fredholm-type integral algebraic e...

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作者： Chistyakov, Viktor F. Chistyakova, Elena V. Laboratory for Differential Equations and Control Systems Institute for System Dynamics and Control Theory SB RAS Irkutsk Russia

In this paper, we study systems of Fredholm integral equations with a singular matrix multiplying the leading part. We address the solvability issues of such systems with separable kernels and, similarly to differenti... 详细信息

关键词： Fredholm integral equations

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dynamics of Bipartite Logical Networks

Dynamics of Bipartite Logical Networks

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Proceedings of the International Convention MIPRO

作者： G.A. Oparin V.G. Bogdanova A.A. Pashinin Theory of SB RAS Matrosov Institute for System Dynamics and Control Irkutsk Russia

ISBN: (数字)9798350382501

ISBN: (纸本)9798350382518

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.

关键词： Computational modeling Scalability Heuristic algorithms Biological system modeling Microservice architectures Vectors Mathematical models

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Case-Based Decision Support system in the Field of Tourism 1

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8th International Scientific Conference on Intelligent Information Technologies for Industry, IITI 2024

作者： Nikolaychuk, Olga Pestova, Yuliya Kosogorov, Dmitriy Pavlov, Alexander Poddubnyy, Ivan Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences Lermontova 134 Irkutsk Russia Irkutsk State University Karl Marx Street 1 Irkutsk Russia

ISBN: (数字)9783031776885

ISBN: (纸本)9783031776878

The paper considers the use of case-based reasoning to support decisions for choosing a vacation destination. The use case model and algorithm for their search and extraction are defined. The case model includes a description of the features of tourist attractions, accommodation facilities, public catering establishments, and services. The features of the model have quantitative, qualitative, interval, and semantic similarity values. Scales for measurement features describing cost and distance are individual and defined by a tourist. The similarity between tourists’ reviews and preferences is assessed based on semantic similarity and sentiment calculated using the BERT multilingual neural network model. The similarity of cases is assessed based on the k-d tree (k-dimensional tree) method, which takes into account interval and text data types. The proposed approach is implemented on the *** cloud platform and is tested in the Baikal natural territory using data collected from open sources. The proposed approach is implemented on the cloud platform ***, and is being tested on the Baikal nature territory using data collected from open sources. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

关键词： Case based reasoning

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Simulation of Nonlinear Dynamic Processes with Volterra Polynomials and Continued Fractions

Simulation of Nonlinear Dynamic Processes with Volterra Poly...

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2023 International Conference on Industrial Engineering, Applications and Manufacturing, ICIEAM 2023

作者： Solodusha, Svetlana Kokonova, Yuliya Melentiev Energy Systems Institute of Sb Ras Matrosov Institute for System Dynamics and Control Theory Irkutsk Russia Irkutsk National Research Technical University Irkutsk Russia

ISBN: (纸本)9781665475952

In this paper, we propose a technique for increasing the accuracy of modeling nonlinear dynamics of input-output systems using finite segments (polynomials) of Volterra integral power series. We highlight a case when the Volterra kernel identification problem is solved. The linear part of the Volterra polynomials of power N is formed as an equivalent continued fraction. Assuming that the corresponding Volterra kernel is known with some error, such an approach allows us to obtain a model with a new linear part that depends on the error. At the same time, prognostic properties of the integral model can be improved by the using the connection coefficient. The problem of indentifying such a parameter was solved using a special extremal problem. We analyzed the performance of the approach for some dynamic systems. Tests examples were used to compare our approach with the known modeling method that employs a series of Volterra polynomials whose transient responses are tuned to different test signal heights. © 2023 IEEE.

关键词： Transient analysis

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Modeling Agent Behavior in Interacting Microgrids

Modeling Agent Behavior in Interacting Microgrids

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Information Technology and Nanotechnology (ITNT), International Conference on

作者： Igor Bychkov Alexander Feoktistov Mikhail Chekan Matrosov Institute for System Dynamics and Control Theory of SB RAS Irkutsk Russia

ISBN: (数字)9798350372939

ISBN: (纸本)9798350372946

We propose the agent-based approach to intellectualize data processing and analysis in modeling the operations of interconnected microgrids. Microgrids are modern energy systems with a large share of environmentally friendly and resource-saving equipment. The modeling of different aspects for the organization and operation of microgrids is relevant for their structural and parametric optimization. The study of these aspects in the interaction of microgrids deserves special attention. In this case, it becomes possible to take into account the synergistic effect in the distribution and consumption of electric power. We implement the modeling process using a multi-agent system. In this regard, we describe the structure of this system, methods of its construction, and goals and processes of agent operations. In addition, we provide a model of agent behavior developed based on the basis of a finite-state control machine. The advantages of the proposed approach are demonstrated on a model example of balancing generation and consumption of electric power.

关键词： Supply and demand Process control Microgrids Organizations Software Social factors Regulation

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Three Search Algorithms for Three Nonconvex Optimization Problems

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Journal of Mathematical Sciences (United States) 2022年第4期267卷 457-464页

作者： Gornov, A. Yu. Sorokovikov, P.S. Zarodnyuk, T.S. Anikin, A.S. Matrosov Institute for System Dynamics and Control Theory of SB RAS 134 Lermontov Str. Ikrusk 664033 Russian Federation

The paper deals with three numerical approaches that allow one to construct computational technologies for solving nonconvex optimization problems. We propose to use the developed algorithms based on modifications of the tunnel search algorithm, the Luus–Yaakola method, and the expert algorithm. The presented techniques are implemented within the framework of the software package and are used for solving nonconvex optimization problems of various classes, in particular, the minimization of the potential function for the Sutton–Chen atomic-molecular cluster, the problem of parametric identification of nonlinear dynamic systems, and the nonconvex optimal control problem. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

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On a Nonconvex Distance-Based Clustering Problem 21st

On a Nonconvex Distance-Based Clustering Problem

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21st International Conference on Mathematical Optimization theory and Operations Research, MOTOR 2022

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)9783031096068

Clustering is one of the basic data analysis tools and an important subroutine in many machine learning tasks. Probably, the most well-known and popular clustering model is the Euclidean minimum-sum-of-squares clustering problem, also known as the k-means problem. Clustering with Bregman divergences is a generalization of the k-means problem where the distances between data items and closest cluster centers are computed according to any Bregman divergence, rather than the squared Euclidean distance. In this paper, we consider a mathematical programming problem of clustering with Bregman divergences. We propose several representations of the problem in the form of a DC (difference of convex) program and develop a DC programming approach to solve it. We provide particular DC representations and particular DC solution algorithms for several widely-known Bregman divergences. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

关键词： K-means clustering

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The Globalized Modification of Rosenbrock Algorithm for Finding Anti-Nash Equilibrium in Bimatrix Game 1

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

作者： Enkhbat, Rentsen Sorokovikov, Pavel Zarodnyuk, Tatiana Gornov, Alexander The Institute of Mathematics and Digital Technology Mongolian Academy of Sciences Ulaanbaatar Mongolia Matrosov Institute for System Dynamics and Control Theory Siberian Branch of Russian Academy of Sciences Irkutsk Russia

ISBN: (数字)9783031412295

ISBN: (纸本)9783031412288

We study the problem of finding an anti-Nash equilibrium in bimatrix game using global search algorithm. Finding anti-Nash equilibrium equivalently reduces to a quadratic programming with an indefinite matrix and linear constraints which belongs to a class of global optimization. To solve the problem numerically, we develop a modification of Rosenbrock algorithm that uses the univariate nonlocal search procedure. Stopping criteria of the algorithm is the sufficient condition of anti-Nash equilibrium. The proposed algorithm is implemented and numerically investigated on a set of bimatrix games of various dimensions. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.

关键词： Game theory

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