Recognition Methods of Geometrical Images of Automata Models of Systems in Control Problem

A. Epifanov
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Abstract

The laws of functioning of discrete deterministic dynamical systems are investigated, presented in the form of automata models defined by geometric images. Due to the use of the apparatus of geometric images of automata, developed by V.A. Tverdokhlebov, the analysis of automata models is carried out on the basis of the analysis of mathematical structures represented by geometric curves and numerical sequences. The purpose of present research is to further develop the mathematical apparatus of geometric images of automaton models of systems, including the development of new methods for recognizing automata by their geometric images, given both geometric curves and numerical sequences.
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控制问题系统自动机模型几何图像的识别方法
研究了离散确定性动力系统的功能规律,并以几何图像定义的自动机模型的形式呈现。由于使用特维尔多赫列博夫(V.A. Tverdokhlebov)开发的自动机几何图像装置,自动机模型的分析是在分析由几何曲线和数值序列表示的数学结构的基础上进行的。本研究的目的是进一步发展系统自动机模型的几何图像的数学设备,包括在给定几何曲线和数值序列的情况下,通过自动机的几何图像识别自动机的新方法。
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9 weeks
期刊介绍: The scopes of the journal include, but are not limited to, the following topics: • Thermal Engineering and Fluids Engineering • Mechanics • Kinematics, Dynamics, & Control of Mechanical Systems • Mechatronics, Robotics and Automation • Design, Manufacturing, & Product Development • Human and Machine Haptics Specific topics of interest include: Advanced Manufacturing Technology, Analysis and Decision of Industry & Manufacturing System, Applied Mechanics, Biomechanics, CAD/CAM Integration Technology, Complex Curve Design, Manufacturing & Application, Computational Mechanics, Computer-aided Geometric Design & Simulation, Fluid Dynamics, Fluid Mechanics, General mechanics, Geomechanics, Industrial Application of CAD, Machinery and Machine Design, Machine Vision and Learning, Material Science and Processing, Mechanical Power Engineering, Mechatronics and Robotics, Artificial Intelligence, PC Guided Design and Manufacture, Precision Manufacturing & Measurement, Precision Mechanics, Production Technology, Quality & Reliability Engineering, Renewable Energy Technologies, Science and Engineering Computing, Solid Mechanics, Structural Dynamics, System Dynamics and Simulation, Systems Science and Systems Engineering, Vehicle Dynamic Performance Simulation, Virtual-tech Based System & Process-simulation, etc.
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