Résumé
Differentially positive systems are systems whose linearization along trajectories is positive. Under mild assumptions, their solutions asymptotically converge to a one-dimensional attractor, which must be a limit cycle in the absence of fixed points in the limit set. In this paper, we investigate the general connections between the (geometric) properties of differentially positive systems and the (spectral) properties of the Koopman operator. In particular, we obtain converse results for differential positivity, showing for instance that any hyperbolic limit cycle is differentially positive in its basin of attraction. We also provide the construction of a contracting cone field.
langue originale | Anglais |
---|---|
titre | 54th IEEE Conference on Decision and Control,CDC 2015 |
Editeur | Institute of Electrical and Electronics Engineers Inc. |
Pages | 7028-7033 |
Nombre de pages | 6 |
ISBN (Electronique) | 9781479978861 |
Les DOIs | |
Etat de la publication | Publié - 8 févr. 2015 |
Modification externe | Oui |
Evénement | 54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japon Durée: 15 déc. 2015 → 18 déc. 2015 |
Une conférence
Une conférence | 54th IEEE Conference on Decision and Control, CDC 2015 |
---|---|
Pays/Territoire | Japon |
La ville | Osaka |
période | 15/12/15 → 18/12/15 |