Extensions of Razumikhin's Theorem and Lyapunov-Krasovskii Functional Constructions for Time-Varying Systems with Delay *
Résumé
We prove extensions of Razumikhin's theorem for time-varying continuous and discrete time nonlinear systems. Our results include a novel 'strictification' technique for converting a nonstrict Lyapunov function into a strict one. We also provide new constructions of Lyapunov-Krasovskii functionals that can be used to prove robustness to perturbations. Our examples include a key model from identification theory, and they show how our method can sometimes allow broader classes of delays than the results in the literature.
Domaines
AutomatiqueOrigine | Fichiers produits par l'(les) auteur(s) |
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