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About Extracting Dynamic Information of Unknown Complex Systems by Neural Networks
Joint Authors
Barragán, Antonio Javier
Andújar, José Manuel
Irigoyen, Eloy
Larrea, Mikel
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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 behaviour 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 behaviour 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 behaviour.
American Psychological Association (APA)
Irigoyen, Eloy& Barragán, Antonio Javier& Larrea, Mikel& Andújar, José Manuel. 2018. About Extracting Dynamic Information of Unknown Complex Systems by Neural Networks. Complexity،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1133726
Modern Language Association (MLA)
Irigoyen, Eloy…[et al.]. About Extracting Dynamic Information of Unknown Complex Systems by Neural Networks. Complexity No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1133726
American Medical Association (AMA)
Irigoyen, Eloy& Barragán, Antonio Javier& Larrea, Mikel& Andújar, José Manuel. About Extracting Dynamic Information of Unknown Complex Systems by Neural Networks. Complexity. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1133726
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133726