Practical Stability for Conformable Time-Delay Systems
This article investigates the practical exponential stability and design problems of conformable time-delay systems. Sufficient conditions that confirm the practical exponential stability and design of the proposed class of systems are given by utilizing an adequate Lyapunov–Krasovskii functional (L...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2023/9375360 |
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| _version_ | 1832547956255883264 |
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| author | Maher Kharrat Hamdi Gassara Mohamed Rhaima Lassaad Mchiri A. Ben Makhlouf |
| author_facet | Maher Kharrat Hamdi Gassara Mohamed Rhaima Lassaad Mchiri A. Ben Makhlouf |
| author_sort | Maher Kharrat |
| collection | DOAJ |
| description | This article investigates the practical exponential stability and design problems of conformable time-delay systems. Sufficient conditions that confirm the practical exponential stability and design of the proposed class of systems are given by utilizing an adequate Lyapunov–Krasovskii functional (L-KF). These conditions are expressed in the form of linear matrix inequalities (LMI) which could be solved by using solvers in LMI Toolbox of MATLAB. Two numerical examples are given to illustrate the applicability of the proposed results. |
| format | Article |
| id | doaj-art-f04a3c9441c544bc8cfa991626676fcb |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f04a3c9441c544bc8cfa991626676fcb2025-02-03T06:42:53ZengWileyDiscrete Dynamics in Nature and Society1607-887X2023-01-01202310.1155/2023/9375360Practical Stability for Conformable Time-Delay SystemsMaher Kharrat0Hamdi Gassara1Mohamed Rhaima2Lassaad Mchiri3A. Ben Makhlouf4Laboratory of Sciences and Techniques of Automatic & Computer Engineering (Lab-STA)Laboratory of Sciences and Techniques of Automatic & Computer Engineering (Lab-STA)Department of Statistics and Operations ResearchENSIIEDepartment of MathematicsThis article investigates the practical exponential stability and design problems of conformable time-delay systems. Sufficient conditions that confirm the practical exponential stability and design of the proposed class of systems are given by utilizing an adequate Lyapunov–Krasovskii functional (L-KF). These conditions are expressed in the form of linear matrix inequalities (LMI) which could be solved by using solvers in LMI Toolbox of MATLAB. Two numerical examples are given to illustrate the applicability of the proposed results.http://dx.doi.org/10.1155/2023/9375360 |
| spellingShingle | Maher Kharrat Hamdi Gassara Mohamed Rhaima Lassaad Mchiri A. Ben Makhlouf Practical Stability for Conformable Time-Delay Systems Discrete Dynamics in Nature and Society |
| title | Practical Stability for Conformable Time-Delay Systems |
| title_full | Practical Stability for Conformable Time-Delay Systems |
| title_fullStr | Practical Stability for Conformable Time-Delay Systems |
| title_full_unstemmed | Practical Stability for Conformable Time-Delay Systems |
| title_short | Practical Stability for Conformable Time-Delay Systems |
| title_sort | practical stability for conformable time delay systems |
| url | http://dx.doi.org/10.1155/2023/9375360 |
| work_keys_str_mv | AT maherkharrat practicalstabilityforconformabletimedelaysystems AT hamdigassara practicalstabilityforconformabletimedelaysystems AT mohamedrhaima practicalstabilityforconformabletimedelaysystems AT lassaadmchiri practicalstabilityforconformabletimedelaysystems AT abenmakhlouf practicalstabilityforconformabletimedelaysystems |