About extracting dynamic information of unknown complex systems by neural networks
type: Item
instance of: scholarly article
title: About extracting dynamic information of unknown complex systems by neural networks
zbMATH Open document ID: 1398.93344
DOI: 10.1155/2018/3671428
author: Eloy Irigoyen
author: Antonio Javier Barragán
author: Mikel Larrea
author: José Manuel Andújar
published in: Complexity
publication date: 2018-10-04T00:00:00Z
review text: Summary: This work presents a straightforward methodology based on Neural Networks (NN) which allows to obtain relevant dynamic information of unknown nonlinear systems. It provides an approach for cases in which the complex task of analyzing the dynamic behavior of nonlinear systems makes it excessively challenging to obtain an accurate mathematical model. After reviewing the suitability of MultiLayer Perceptrons (MLPs) as universal approximators to replace a mathematical model, the first part of this work presents a system representation using a model formulated with state variables which can be exported to a NN structure. Considering the linearization of the NN model in a mesh of operating points, the second part of this work presents the study of equilibrium states in such points by calculating the Jacobian matrix of the system through the NN model. The results analyzed in three case studies provide representative examples of the strengths of the proposed method. Conclusively, it is feasible to study the system behavior based on MLPs, which enables the analysis of the local stability of the equilibrium points, as well as the system dynamics in its environment, therefore obtaining valuable information of the system dynamic behavior.
Mathematics Subject Classification ID: 93E12
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 6946943
zbMATH Keywords: unknown complex systems
zbMATH Keywords: nonlinear systems
zbMATH Keywords: dynamic behavior
zbMATH Keywords: multilayer perceptrons (MLPs)
zbMATH Keywords: neural networks
zbMATH Keywords: linearization
describes a project that uses: Scatter Search
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3671428
OpenAlex ID: W2829123685
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description: scientific article; zbMATH DE number 6946943