Lyapunov stability analysis of a system coupled to a hyperbolic PDE with potential
Résumé
This work deals with a stability problem for a system coupling an ordinary differential equation to a linear vectorial hyperbolic transport equation with a potential term. Using the Lyapunov methodology , a novel approach for stability of the coupled ODE-PDE system is developed. This methodology leads to a linear matrix inequality criteria while exploiting Bessel inequality and Legendre polynomials. To demonstrate the efficiency of this technique, the obtained criteria are applied on academic example.
Domaines
Automatique / Robotique
Origine : Fichiers produits par l'(les) auteur(s)
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