Stabilization of the Marine Riser model by controllers depending on finitely many parameters
Optimization and Control
2026-03-03 v1 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.2603.00332,
title = {Stabilization of the Marine Riser model by controllers depending on finitely many parameters},
author = {V. K. Kalantarov and A. A. Namazov and E. S. Titi},
journal= {arXiv preprint arXiv:2603.00332},
year = {2026}
}