3D Nonparametric Neural Identification
Joint Authors
Fuentes, Rita Q.
Poznyak, Alexander
Chairez, Isaac
Poznyak, Tatyana
Source
Journal of Control Science and Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
This paper presents the state identification study of 3D partial differential equations (PDEs) using the differential neural networks (DNNs) approximation.
There are so many physical situations in applied mathematics and engineering that can be described by PDEs; these models possess the disadvantage of having many sources of uncertainties around their mathematical representation.
Moreover, to find the exact solutions of those uncertain PDEs is not a trivial task especially if the PDE is described in two or more dimensions.
Given the continuous nature and the temporal evolution of these systems, differential neural networks are an attractive option as nonparametric identifiers capable of estimating a 3D distributed model.
The adaptive laws for weights ensure the “practical stability” of the DNN trajectories to the parabolic three-dimensional (3D) PDE states.
To verify the qualitative behavior of the suggested methodology, here a nonparametric modeling problem for a distributed parameter plant is analyzed.
American Psychological Association (APA)
Fuentes, Rita Q.& Chairez, Isaac& Poznyak, Alexander& Poznyak, Tatyana. 2012. 3D Nonparametric Neural Identification. Journal of Control Science and Engineering،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-485582
Modern Language Association (MLA)
Fuentes, Rita Q.…[et al.]. 3D Nonparametric Neural Identification. Journal of Control Science and Engineering No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-485582
American Medical Association (AMA)
Fuentes, Rita Q.& Chairez, Isaac& Poznyak, Alexander& Poznyak, Tatyana. 3D Nonparametric Neural Identification. Journal of Control Science and Engineering. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-485582
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485582