Boundary feedback control of a 2x2 weakly hyperbolic system: Lyapunov-based approach
In this paper, we propose a feedback boundary control law that ensures the exponential stability of a class of hyperbolic systems characterized by a non-diagonalizable principal part and nonuniform coefficients, as encountered in sedimentation processes and elasticity theory. We establish sufficient conditions for the exponential stability of the closed-loop system. A numerical example is presented to illustrate the effectiveness of the proposed Lyapunov-based stability analysis.
Authors
- Jean Auriol (ORCID: https://orcid.org/0000-0002-9203-8182)
- Mathieu Bajodek (ORCID: https://orcid.org/0000-0001-8562-5031)
- Claire Valentin (ORCID: https://orcid.org/0000-0002-1926-4327)
- Vincent Andrieu (ORCID: https://orcid.org/0000-0003-1877-6205)
- Mohand Ouidir Amirat
Institutions
- Université Claude Bernard Lyon 1 (FR)
- Centre National de la Recherche Scientifique (FR)
- Université Paris-Saclay (FR)
- CentraleSupélec (FR)
- Laboratoire d'Automatique, de Génie des Procédés et de Génie Pharmaceutique (FR)
Publication Details
- Journal
- IFAC-PapersOnLine
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1016/j.ifacol.2025.08.083
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00