Computation of Local ISS Lyapunov Functions Via Linear Programming - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2014

Computation of Local ISS Lyapunov Functions Via Linear Programming

Résumé

In this paper, we present a numerical algorithm for computing a local ISS Lyapunov function for systems which are locally input-to-state stable (ISS) on compact subsets of the state space. The algorithm relies on a linear programming problem and computes a continuous, piecewise affine ISS Lyapunov function on a simplicial grid covering the given compact set excluding a small neighborhood of the origin. We show that the ISS Lyapunov function delivered by the algorithm is a viscosity subsolution of a partial differential equation. Index Terms--Nonlinear systems, Local input-to-state stability, Local ISS Lyapunov function, Linear programming, Viscosity subsolution
Fichier principal
Vignette du fichier
li_baier_gruene_et_al_iss_lf_2014.pdf (269.15 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01068706 , version 1 (26-09-2014)

Identifiants

  • HAL Id : hal-01068706 , version 1

Citer

Huijuan Li, Robert Baier, Lars Grüne, Sigurđur Freyr Hafstein, Fabian Wirth. Computation of Local ISS Lyapunov Functions Via Linear Programming. MTNS 2014, 2014, Groningen, Netherlands. ⟨hal-01068706⟩

Collections

SADCO TDS-MACS
118 Consultations
86 Téléchargements

Partager

Gmail Facebook X LinkedIn More