Optimal feedback stabilization of fractional output in semilinear distributed systems
This study explores the stabilization of state–space fractional derivatives in semilinear distributed systems, using the Riemann–Liouville derivative of order α, where α lies within the interval 0,1. The main objective is to develop effective feedback control strategies that ensure both strong and w...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124002973 |
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| _version_ | 1846125125922979840 |
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| author | Marouane Karim Issam Khaloufi Imane Dehaj Rachik Mostafa |
| author_facet | Marouane Karim Issam Khaloufi Imane Dehaj Rachik Mostafa |
| author_sort | Marouane Karim |
| collection | DOAJ |
| description | This study explores the stabilization of state–space fractional derivatives in semilinear distributed systems, using the Riemann–Liouville derivative of order α, where α lies within the interval 0,1. The main objective is to develop effective feedback control strategies that ensure both strong and weak stabilization of fractional outputs. Additionally, we tackle a fractional minimization problem to enhance the system’s performance. A numerical simulation example is provided to demonstrate the practical significance of the proposed stabilization theorems. |
| format | Article |
| id | doaj-art-cad5fb78376043289e55ed4a050ad137 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-cad5fb78376043289e55ed4a050ad1372024-12-13T11:05:31ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-12-0112100911Optimal feedback stabilization of fractional output in semilinear distributed systemsMarouane Karim0Issam Khaloufi1Imane Dehaj2Rachik Mostafa3Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco; Multidisciplinary Research and Innovation Laboratory (LPRI), Moroccan School of Engineering Sciences (EMSI), Casablanca, Morocco; Corresponding author at: Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco.Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco; Multidisciplinary Research and Innovation Laboratory (LPRI), Moroccan School of Engineering Sciences (EMSI), Casablanca, MoroccoThis study explores the stabilization of state–space fractional derivatives in semilinear distributed systems, using the Riemann–Liouville derivative of order α, where α lies within the interval 0,1. The main objective is to develop effective feedback control strategies that ensure both strong and weak stabilization of fractional outputs. Additionally, we tackle a fractional minimization problem to enhance the system’s performance. A numerical simulation example is provided to demonstrate the practical significance of the proposed stabilization theorems.http://www.sciencedirect.com/science/article/pii/S2666818124002973Distributed semilinear systemsFractional spatial derivativeWeak stabilizationStrong stabilizationFeedback optimal control |
| spellingShingle | Marouane Karim Issam Khaloufi Imane Dehaj Rachik Mostafa Optimal feedback stabilization of fractional output in semilinear distributed systems Partial Differential Equations in Applied Mathematics Distributed semilinear systems Fractional spatial derivative Weak stabilization Strong stabilization Feedback optimal control |
| title | Optimal feedback stabilization of fractional output in semilinear distributed systems |
| title_full | Optimal feedback stabilization of fractional output in semilinear distributed systems |
| title_fullStr | Optimal feedback stabilization of fractional output in semilinear distributed systems |
| title_full_unstemmed | Optimal feedback stabilization of fractional output in semilinear distributed systems |
| title_short | Optimal feedback stabilization of fractional output in semilinear distributed systems |
| title_sort | optimal feedback stabilization of fractional output in semilinear distributed systems |
| topic | Distributed semilinear systems Fractional spatial derivative Weak stabilization Strong stabilization Feedback optimal control |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124002973 |
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