$k$-Contraction in a Generalized Lurie System
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913845920923648 |
|---|---|
| author | Ofir, Ron Slotine, Jean-Jacques Margaliot, Michael |
| author_facet | Ofir, Ron Slotine, Jean-Jacques Margaliot, Michael |
| contents | We derive a sufficient condition for $k$-contraction in a generalized Lurie system~(GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinear function. For $k=1$, this reduces to a sufficient condition for standard contraction. For $k=2$, this condition implies that every bounded solution of the GLS converges to an equilibrium, which is not necessarily unique. We demonstrate the theoretical results by analyzing $k$-contraction in a biochemical control circuit with nonlinear dissipation terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07514 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $k$-Contraction in a Generalized Lurie System Ofir, Ron Slotine, Jean-Jacques Margaliot, Michael Systems and Control We derive a sufficient condition for $k$-contraction in a generalized Lurie system~(GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinear function. For $k=1$, this reduces to a sufficient condition for standard contraction. For $k=2$, this condition implies that every bounded solution of the GLS converges to an equilibrium, which is not necessarily unique. We demonstrate the theoretical results by analyzing $k$-contraction in a biochemical control circuit with nonlinear dissipation terms. |
| title | $k$-Contraction in a Generalized Lurie System |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2309.07514 |