Boundary Feedback and Observer Synthesis for a Class of Nonlinear Parabolic--Elliptic PDE Systems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915395108077568 |
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| author | Fenza, Kamal Labbadi, Moussa Ouzahra, Mohamed |
| author_facet | Fenza, Kamal Labbadi, Moussa Ouzahra, Mohamed |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12615 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary Feedback and Observer Synthesis for a Class of Nonlinear Parabolic--Elliptic PDE Systems Fenza, Kamal Labbadi, Moussa Ouzahra, Mohamed Analysis of PDEs Systems and Control 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. |
| title | Boundary Feedback and Observer Synthesis for a Class of Nonlinear Parabolic--Elliptic PDE Systems |
| topic | Analysis of PDEs Systems and Control |
| url | https://arxiv.org/abs/2507.12615 |