Stabilization of the Marine Riser model by controllers depending on finitely many parameters
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908856982962176 |
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| author | Kalantarov, V. K. Namazov, A. A. Titi, E. S. |
| author_facet | Kalantarov, V. K. Namazov, A. A. Titi, E. S. |
| contents | We prove global stabilization of the marine riser models using a feedback controller that depend on finitely many finite-volume elements and finitely many nodal observables. Our approach is based on a feedback control design for dissipative nonlinear partial differential equations, inspired by the methodology introduced in [Evol. Equ. Control Theory, Vol. 3 (2014), 579-594]. The proposed control strategy ensures asymptotic stabilization while maintaining computational feasibility, making it suitable for practical applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00332 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stabilization of the Marine Riser model by controllers depending on finitely many parameters Kalantarov, V. K. Namazov, A. A. Titi, E. S. Optimization and Control Analysis of PDEs 35B30, 35B35, 35G25 We prove global stabilization of the marine riser models using a feedback controller that depend on finitely many finite-volume elements and finitely many nodal observables. Our approach is based on a feedback control design for dissipative nonlinear partial differential equations, inspired by the methodology introduced in [Evol. Equ. Control Theory, Vol. 3 (2014), 579-594]. The proposed control strategy ensures asymptotic stabilization while maintaining computational feasibility, making it suitable for practical applications. |
| title | Stabilization of the Marine Riser model by controllers depending on finitely many parameters |
| topic | Optimization and Control Analysis of PDEs 35B30, 35B35, 35G25 |
| url | https://arxiv.org/abs/2603.00332 |