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Machine Learning for Modeling the Singular Multi-Pantograph Equations
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| Published in: | Entropy volume 22 (2020), issue 9, article 1041, 18 Seiten |
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| Authors and Corporations: | , , , , , |
| Other Authors: | Shokri, Manouchehr [Author] • Mansor, Zulkefli [Author] • Qasem, Sultan Noman [Author] • Band, Shahab S. [Author] • Mohammadzadeh, Ardashir [Author] |
| Type of Resource: | E-Book Component Part |
| Language: | English |
| published: |
2020
|
| Series: |
: Entropy, volume 22 (2020), issue 9, article 1041, 18 Seiten
, volume:18 |
| Source: | Verbunddaten SWB Lizenzfreie Online-Ressourcen |
| ISSN: |
1099-4300
|
| Summary: | 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 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. |
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| Physical Description: |
Diagramme 18 |
| ISSN: |
1099-4300
|
| DOI: | 10.3390/e22091041 |