Boundary Feedback and Observer Synthesis for a Class of Nonlinear Parabolic--Elliptic PDE Systems
Analysis of PDEs
2025-07-18 v1 Systems and Control
Systems and Control
Abstract
This paper investigates the stabilization of a coupled system comprising a parabolic PDE and an elliptic PDE with nonlinear terms. A rigorous backstepping design provides an explicit boundary control law and exponentially convergent observers from partial boundary measurements. Several theorems ensure exponential stability and well-posedness of the nonlinear closed-loop system.
Keywords
Cite
@article{arxiv.2507.12615,
title = {Boundary Feedback and Observer Synthesis for a Class of Nonlinear Parabolic--Elliptic PDE Systems},
author = {Kamal Fenza and Moussa Labbadi and Mohamed Ouzahra},
journal= {arXiv preprint arXiv:2507.12615},
year = {2025}
}