Local Halanay's Inequality with Application to Feedback Stabilization *
Résumé
We provide a local version of an approach to proving asymptotic stability that is based on Halanay’s inequality. Our results are applicable to a family of nonlinear systems that contain state and in- put delays. We determine input-to-state stability inequalities when the systems contain additive uncertainty. We combine the results with an observer and a Gramian approach, to solve an output feedback stabilization problem. Our numerical examples illustrate how our theorems lead to new basin of attraction estimates.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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