ERVEDOZA, Sylvain; WANG, Zhiqiang; ZHANG, Jiacheng

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ERVEDOZA, Sylvain
Institut de Mathématiques de Bordeaux [IMB]

WANG, Zhiqiang
School of Mathematical Sciences [Fudan]

ZHANG, Jiacheng
School of Mathematical Sciences [Fudan]

Langue

Document de travail - Pré-publication

Ce document a été publié dans

2023-03-09

Résumé en anglais

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.< Réduire

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190395

Project ANR

Nouvelles directions en contrôle et stabilisation: Contraintes et termes non-locaux - ANR-20-CE40-0009

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251