Invariant sets computation for convex difference inclusions systems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Systems and Control Letters Année : 2012

Invariant sets computation for convex difference inclusions systems

Résumé

In this paper we introduce the Convex Difference Inclusion (CDI) systems as a modeling framework useful to analyze set-theory and invariance-related issues for nonlinear and uncertain systems. The dynamics of a CDI system is given by a set-valued map whose values are convex, compact subsets of the space and are determined by convex bounding functions. Necessary and sufficient boundary-type conditions for invariance and contractiveness, characteristic of the linear systems, are given for the CDI systems. Lyapunov functions are proved to be induced by contractive sets for CDI systems, as in the linear context. A computational procedure for obtaining polytopic invariant and contractive sets for nonlinear systems, based on the properties of the CDI systems, is presented.
Fichier principal
Vignette du fichier
CDI_Theory_SCL_VI.pdf (148.16 Ko) Télécharger le fichier

Dates et versions

hal-00984646 , version 1 (05-07-2021)

Identifiants

Citer

Mirko Fiacchini, Teodoro Alamo, Eduardo Camacho. Invariant sets computation for convex difference inclusions systems. Systems and Control Letters, 2012, 61 (8), pp.819-826. ⟨10.1016/j.sysconle.2012.04.012⟩. ⟨hal-00984646⟩
96 Consultations
70 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More