Machine Learning for Modeling the Singular Multi-Pantograph Equations

  • In this study, a new approach to basis of intelligent systems and machine learning algorithms is introduced for solving singular multi-pantograph differential equations (SMDEs). For the first time, a type-2 fuzzy logic based approach is formulated to find an approximated solution. The rules of the suggested type-2 fuzzy logic system (T2-FLS) are optimized by the square root cubature Kalman filterIn this study, a new approach to basis of intelligent systems and machine learning algorithms is introduced for solving singular multi-pantograph differential equations (SMDEs). For the first time, a type-2 fuzzy logic based approach is formulated to find an approximated solution. The rules of the suggested type-2 fuzzy logic system (T2-FLS) are optimized by the square root cubature Kalman filter (SCKF) such that the proposed fineness function to be minimized. Furthermore, the stability and boundedness of the estimation error is proved by novel approach on basis of Lyapunov theorem. The accuracy and robustness of the suggested algorithm is verified by several statistical examinations. It is shown that the suggested method results in an accurate solution with rapid convergence and a lower computational cost.show moreshow less

Download full text files

  • Gefördert durch das Programm Open Access Publizieren der DFG und den Publikationsfonds der Bauhaus-Universität Weimar.

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Document Type:Article
Author: Amirhosein MosaviORCiD, Manouchehr ShokriORCiD, Zulkefli Mansor, Sultan Noman QasemORCiD, Shahab S. Band, Ardashir MohammadzadehORCiD
DOI (Cite-Link):https://doi.org/10.3390/e22091041Cite-Link
URN (Cite-Link):https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20210122-43436Cite-Link
URL:https://www.mdpi.com/1099-4300/22/9/1041
Parent Title (English):Entropy
Publisher:MDPI
Place of publication:Basel
Language:English
Date of Publication (online):2021/01/21
Date of first Publication:2020/09/18
Release Date:2021/01/22
Publishing Institution:Bauhaus-Universität Weimar
Institutes and partner institutions:Fakultät Bauingenieurwesen / Institut für Strukturmechanik
Volume:2020
Issue:volume 22, issue 9, article 1041
Pagenumber:18
First Page:1
Last Page:18
Tag:square root cubature calman filter; statistical analysis
GND Keyword:Fuzzy-Regelung
Dewey Decimal Classification:500 Naturwissenschaften und Mathematik / 510 Mathematik
BKL-Classification:31 Mathematik / 31.78 Fuzzy-Mengen, Fuzzy-Theorie
Open Access Publikationsfonds:Open-Access-Publikationsfonds 2020
Licence (German):License Logo Creative Commons 4.0 - Namensnennung (CC BY 4.0)