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 Выпуск 71
- Kuznetsov A. The short review of multi-agent models
The article reviews various fields of application of multi-agent systems. At first, we briefly recall basic conceptions of multi-agent systems and previous reviews. Next, we discuss a few classifications of agents and multi-agent methodologies based on type of agent, ways of communication between agents, system complexity etc. Also, we list software tools for development of multi-agent systems. Then we consider examples of multi-agent models of different types in mechanics such as Lattice Boltzmann methods, non-classical computations (Physarum logics models). We continue with models from biology and medicine (models of tumor growths and epidemy) constructed as cellular automata with combined discrete and continuous rules. Then we describe applications of multi-agent systems in transport, telecommunications, warfare, simulation of robots' swarms and formations (world-space and agent-space cellular automata), in economics and sociology (models of opinion formation). So, we present discrete, cellular automata-like multi-agent models, the models of dynamical systems, for example, consensus models, and mixed models.
- Zheleznov K., Kvinto Y., Khlebnikov M. An approach to tracking problem for linear control system via invariant ellipsoids method
In the article we propose a simple yet universal approach to the tracking problem for the linear control system by means of linear static combined feedback. Our approach is based on the method of invariant ellipsoids, by which means the optimal control design reduces to finding the minimal invariant ellipsoid for the closed-loop system. With such an ideology, the original problem can be reformulated in terms of linear matrix inequalities, and the control design problem directly reduces to a semidefinite program and one-dimensional minimization. These problems are straightforward to implement numerically using any of the appropriate toolboxes that are presently available, e.g., {\scshape Matlab}-based toolboxes SeDuMi and YALMIP. Another attractive property of the approach is that it is equally applicable to discrete-time systems (which are not considered in this article but it is a promising topic for further publications). The efficacy of the proposed technique is illustrated through application to the benchmark problem.
- Gorbaneva O., Murzin A., Ougolnitsky G. Mechanisms of interests combining under territiry developing project management
This article is devoted to the research of administrative and economical mechanisms of combining of two neighboring territorial subjects interests. The control problem of resource allocation among developing its own territory and common transboundary one by two neighboring subjects is investigated. A special control agency (Coordinator, Center) is introduced for coordination of region’s activity. Administrative mechanism is that Center assigns the minimal resource quantity, less of which the subject cannot to spend on transboundary territory developing. Economical mechanisms are investigated in two variants (the control of a participant in income share and resource allocation). A detailed analysis of these mechanisms is given, as well as an organizational and economic interpretation for specific problems of territorial management. Two cases of functions of public and private interests are considered: а) when the functions of subject developing and transboundary territory developing are concave; б) when the function of subject developing is concave power, and the function of transboundary territory developing is linear.
- Rezchikov A., Kushnikov V., Ivaschenko V., Fominykh D., Bogomolov A., Filimonyuk L. Control of arc welding process in robotic technologcal complexes based on system dynamics model
The article solves the problem of controlling the welding process via robotic technological complexes according to the quality criterion of the production. A mathematical model and an algorithm for solving it have been developed. The solution of the problem is performed using the system dynamics model, which allows to proceed to a system of nonlinear differential equations for phase variables (system levels). As the system levels used the main indicators of production quality. Factors affecting the growth and decrease of indicators are described. The graph describing the cause-effect relations between the indicators is given. By approximating the statistical data, functional dependencies between these indicators are determined. The description of the software for the implementation of the developed algorithm as part of a complex of technical controls for a robotic technological complex is given. A procedure has been developed for the operational control of the welding process in robotic complexes according to the proposed criterion at various time intervals in the form of an information-logic scheme. The introduction of the developed mathematical software will allow to increase the quality of arc welding in robotic complexes.
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