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| Stabilization of second-order bilinear systems with time delay by a class of bounded feedbacks |
| KhalilElazoui1,HassanEzzaki1,2 |
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| (1 LAMA Laboratory, Department of Mathematics, Faculty of Sciences, Ibn Zohr University, 80000 Agadir, Morocco;1 LAMA Laboratory, Department of Mathematics, Faculty of Sciences, Ibn Zohr University, 80000 Agadir, Morocco
2 LRST Laboratory, Department of Mathematics, Faculty of Sciences, Ibn Zohr University, 80000 Agadir, Morocco) |
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| 摘要: |
| The stabilization problem of second-order bilinear systems with time delay is investigated. Feedback controls are chosen so that the strong and exponential stabilization of the system is ensured. The obtained results are illustrated by wave and beam equations with simulation. |
| 关键词: Second-order systems · Bilinear systems · Time delay · Strong stabilization · Exponential stabilization · Wave
equation · Beam equation |
| DOI：https://doi.org/10.1007/s11768-025-00258-6 |
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| 基金项目: |
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| Stabilization of second-order bilinear systems with time delay by a class of bounded feedbacks |
| Khalil El azoui1,Hassan Ezzaki1,2 |
| (1 LAMA Laboratory, Department of Mathematics, Faculty of Sciences, Ibn Zohr University, 80000 Agadir, Morocco;1 LAMA Laboratory, Department of Mathematics, Faculty of Sciences, Ibn Zohr University, 80000 Agadir, Morocco
2 LRST Laboratory, Department of Mathematics, Faculty of Sciences, Ibn Zohr University, 80000 Agadir, Morocco) |
| Abstract: |
| The stabilization problem of second-order bilinear systems with time delay is investigated. Feedback controls are chosen so that the strong and exponential stabilization of the system is ensured. The obtained results are illustrated by wave and beam equations with simulation. |
| Key words: Second-order systems · Bilinear systems · Time delay · Strong stabilization · Exponential stabilization · Wave equation · Beam equation |
