Semi-global stabilization of a nonlinear transport equation with nonlocal velocity
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ERVEDOZA, Sylvain | |
| hal.structure.identifier | School of Mathematical Sciences [Fudan] | |
| dc.contributor.author | WANG, Zhiqiang | |
| hal.structure.identifier | School of Mathematical Sciences [Fudan] | |
| dc.contributor.author | ZHANG, Jiacheng | |
| dc.date.accessioned | 2024-04-04T02:32:32Z | |
| dc.date.available | 2024-04-04T02:32:32Z | |
| dc.date.issued | 2023-03-09 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190395 | |
| dc.description.abstractEn | In this paper, we establish the semi-global feedback stabilization for a class of nonlinear transport equations with nonlocal velocity, which models a highly re-entrant system encountered in semiconductor manufacturing. We design two new time-varying feedback laws: one yields a semi-global exponential stability of the corresponding closed-loop system, the other one a local exponential stability result for the corresponding closed-loop system. The crucial assumption on the velocity function $\lambda(\cdot)$ and the target equilibrium $\overline\rho$ is strongly reduced compared to the previous results. Numerical simulations are also provided as illustration of the theoretical results. | |
| dc.description.sponsorship | Nouvelles directions en contrôle et stabilisation: Contraintes et termes non-locaux - ANR-20-CE40-0009 | |
| dc.language.iso | en | |
| dc.title.en | Semi-global stabilization of a nonlinear transport equation with nonlocal velocity | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04288035 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04288035v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2023-03-09&rft.au=ERVEDOZA,%20Sylvain&WANG,%20Zhiqiang&ZHANG,%20Jiacheng&rft.genre=preprint |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||