تقرير
Boundary feedback control for hyperbolic systems
| العنوان: | Boundary feedback control for hyperbolic systems |
|---|---|
| المؤلفون: | Herty, Michael, Thein, Ferdinand |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, Mathematics - Analysis of PDEs, 35L50, 35Q93, 93D05 |
| الوصف: | We are interested in the feedback stabilization of general linear multi-dimensional first order hyperbolic systems in $\R^d$. Using a Lyapunov function with a suited weight function dpending on the system under consideration we show stabilization in $L^2$ for the studied system using a suitable feedback control. Therefore the controlability of the studied system is related to the feasibility of an associated linear matrix inequality. We show the applicability discussing the barotropic Euler equations. Comment: arXiv admin note: text overlap with arXiv:2207.12006 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2303.05598 |
| رقم الأكسشن: | edsarx.2303.05598 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |