A quaternion Sylvester equation solver through noise-resilient zeroing neural networks with application to control the SFM chaotic system
Dynamic Sylvester equation (DSE) problems have drawn a lot of interest from academics due to its importance in science and engineering. Due to this, the quest for the quaternion DSE (QDSE) solution is the subject of this work. This is accomplished using the zeroing neural network (ZNN) technique, wh...
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AIMS Press
2023-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231401?viewType=HTML |
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| author | Sondess B. Aoun Nabil Derbel Houssem Jerbi Theodore E. Simos Spyridon D. Mourtas Vasilios N. Katsikis |
| author_facet | Sondess B. Aoun Nabil Derbel Houssem Jerbi Theodore E. Simos Spyridon D. Mourtas Vasilios N. Katsikis |
| author_sort | Sondess B. Aoun |
| collection | DOAJ |
| description | Dynamic Sylvester equation (DSE) problems have drawn a lot of interest from academics due to its importance in science and engineering. Due to this, the quest for the quaternion DSE (QDSE) solution is the subject of this work. This is accomplished using the zeroing neural network (ZNN) technique, which has achieved considerable success in tackling time-varying issues. Keeping in mind that the original ZNN can handle QDSE successfully in a noise-free environment, but it might not work in a noisy one, and the noise-resilient ZNN (NZNN) technique is also utilized. In light of that, one new ZNN model is introduced to solve the QDSE problem and one new NZNN model is introduced to solve the QDSE problem under different types of noises. Two simulation experiments and one application to control of the sine function memristor (SFM) chaotic system show that the models function superbly. |
| first_indexed | 2024-03-11T16:32:44Z |
| format | Article |
| id | doaj.art-f5c76fd00b29455e988177ef60db308f |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T16:32:44Z |
| publishDate | 2023-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-f5c76fd00b29455e988177ef60db308f2023-10-24T01:13:46ZengAIMS PressAIMS Mathematics2473-69882023-09-01811273762739510.3934/math.20231401A quaternion Sylvester equation solver through noise-resilient zeroing neural networks with application to control the SFM chaotic systemSondess B. Aoun 0Nabil Derbel 1Houssem Jerbi2Theodore E. Simos3Spyridon D. Mourtas4Vasilios N. Katsikis51. Department of Computer Engineering, College of Computer Science and Engineering, Univ. of Ha'il, Ha'il City 81451, Saudi Arabia2. Control & Energy Management Laboratory, National Engineering School of Sfax, Univ. of Sfax, Sfax, Tunisia3. Department of Industrial Engineering, College of Engineering, Univ. of Ha'il, Ha'il City 81451, Saudi Arabia4. Laboratory of Interdisciplinary Problems in Energy Production, Ulyanovsk State Technical Univ., 32 Severny Venetz Street, 432027 Ulyanovsk, Russia 5. Department of Medical Research, China Medical Univ. Hospital, China Medical Univ., Taichung City 40402, Taiwan 6. Center for Applied Math. and Bioinformatics, Gulf Univ. for Science and Technology, West Mishref, 32093 Kuwait 7. Data Recovery Key Laboratory of Sichun Province, Neijing Normal Univ., Neijiang 641100, China 8. Section of Mathematics, Dept. of Civil Engineering, Democritus Univ. of Thrace, Xanthi 67100, Greece9. Department of Economics, Division of Mathematics-Informatics and Statistics-Econometrics, National and Kapodistrian Univ.of Athens, Sofokleous 1 Street, 10559 Athens, Greece 10. Laboratory "Hybrid Methods of Modelling and Optimization in Complex Systems", Siberian Federal Univ., Prosp. Svobodny 79, 660041 Krasnoyarsk, Russia9. Department of Economics, Division of Mathematics-Informatics and Statistics-Econometrics, National and Kapodistrian Univ.of Athens, Sofokleous 1 Street, 10559 Athens, GreeceDynamic Sylvester equation (DSE) problems have drawn a lot of interest from academics due to its importance in science and engineering. Due to this, the quest for the quaternion DSE (QDSE) solution is the subject of this work. This is accomplished using the zeroing neural network (ZNN) technique, which has achieved considerable success in tackling time-varying issues. Keeping in mind that the original ZNN can handle QDSE successfully in a noise-free environment, but it might not work in a noisy one, and the noise-resilient ZNN (NZNN) technique is also utilized. In light of that, one new ZNN model is introduced to solve the QDSE problem and one new NZNN model is introduced to solve the QDSE problem under different types of noises. Two simulation experiments and one application to control of the sine function memristor (SFM) chaotic system show that the models function superbly.https://www.aimspress.com/article/doi/10.3934/math.20231401?viewType=HTMLquaterniondynamic sylvester equationzeroing neural networkchaos control |
| spellingShingle | Sondess B. Aoun Nabil Derbel Houssem Jerbi Theodore E. Simos Spyridon D. Mourtas Vasilios N. Katsikis A quaternion Sylvester equation solver through noise-resilient zeroing neural networks with application to control the SFM chaotic system AIMS Mathematics quaternion dynamic sylvester equation zeroing neural network chaos control |
| title | A quaternion Sylvester equation solver through noise-resilient zeroing neural networks with application to control the SFM chaotic system |
| title_full | A quaternion Sylvester equation solver through noise-resilient zeroing neural networks with application to control the SFM chaotic system |
| title_fullStr | A quaternion Sylvester equation solver through noise-resilient zeroing neural networks with application to control the SFM chaotic system |
| title_full_unstemmed | A quaternion Sylvester equation solver through noise-resilient zeroing neural networks with application to control the SFM chaotic system |
| title_short | A quaternion Sylvester equation solver through noise-resilient zeroing neural networks with application to control the SFM chaotic system |
| title_sort | quaternion sylvester equation solver through noise resilient zeroing neural networks with application to control the sfm chaotic system |
| topic | quaternion dynamic sylvester equation zeroing neural network chaos control |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231401?viewType=HTML |
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