Approximate controllability of the coupled degenerate system with boundary control

This paper concerns the approximate controllability of a class of system governed by double coupled degenerate equations with Robin boundary condition at the degenerate point, where the control functions act on the boundary. We first establish the well-posedness of the degenerate system. Then, we prove the approximate controllability via the conjugate problems.

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Publication Details

Journal
Discrete and Continuous Dynamical Systems - S
Published
2025-01-01
DOI
https://doi.org/10.3934/dcdss.2025115
Primary Topic
Stability and Controllability of Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

Approximate controllability of the coupled degenerate system with boundary control

Hao Zhou, Na Yang, Fengdan Xu
Discrete and Continuous Dynamical Systems - S
Stability and Controllability of Differential Equations
article

Approximate controllability of the coupled degenerate system with boundary control

Hao Zhou, Na Yang, Fengdan Xu
article en

Abstract

This paper concerns the approximate controllability of a class of system governed by double coupled degenerate equations with Robin boundary condition at the degenerate point, where the control functions act on the boundary. We first establish the well-posedness of the degenerate system. Then, we prove the approximate controllability via the conjugate problems.

Discrete and Continuous Dynamical Systems - SVol. 0(0)
North University of China (CN), Changchun University of Technology (CN)
National Natural Science Foundation of China
Climate action
Openalex Percentile: Top 77%
Stability and Controllability of Differential Equations
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