k-contraction analysis for discrete-time systems - Équipe Méthodes et Algorithmes en Commande Accéder directement au contenu
Communication Dans Un Congrès Année : 2024

k-contraction analysis for discrete-time systems

Résumé

The definition of k-contraction promises a useful generalization of the classical notion of contraction for dynamical systems. However, most of the k-contraction literature focuses on continuous-time systems. In this work, we derive conditions for k-contractivity of discrete- time dynamics. Our first result follows traditional lines for k-contraction analysis, and provides Lyapunov-like sufficient conditions based on matrix compounds and state-dependent metrics. However, our subsequent results avoid the complexities related to matrix compounds. Inspired by recent findings in the context of k-contraction for continuous-time systems, we provide conditions on the system’s dynamics that rely on generalized Lyapunov inequalities and quadratic cone fields. The proposed conditions are also shown to be necessary for linear time-invariant systems.
Fichier principal
Vignette du fichier
MICNON2024_discrete_time_k_contr.pdf (344.37 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04643933 , version 1 (10-07-2024)

Identifiants

Citer

Samuele Zoboli, Andreu Cecilia. k-contraction analysis for discrete-time systems. 4th IFAC Conference of Modelling, Identification and Control of Nonlinear Systems, Sep 2024, Lyon (FR), France. ⟨10.13039/501100011033⟩. ⟨hal-04643933⟩
97 Consultations
38 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More