FREDHOLM BACKSTEPPING AND RAPID STABILIZATION OF GENERAL LINEAR SYSTEMS
Résumé
We study the rapid stabilization of general linear systems, when the differential operator A has a Riesz basis of eigenvectors. We find simple sufficient conditions for the rapid stabilization and the construction of a relatively explicit feedback operator. We use an F -equivalence (or Fredholm backstepping) approach to show a stronger result: under these sufficient conditions the system is equivalent to a simple exponentially stable system, with arbitrarily large decay rate. In the particular, our conditions improve the existing conditions of rapid stabilization for non-parabolic operators such as skew-adjoint systems
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
---|---|
Licence |