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Null controllability of an ODE-heat system with coupled boundary and internal terms
- Publication Year :
- 2024
-
Abstract
- This paper is devoted to the theoretical and numerical analysis of the null controllability of a coupled ODE-heat system internally and at the boundary with Neumann boundary control. First, we establish the null controllability of the ODE-heat with distributed control using Carleman estimates. Then, we conclude by the strategy of space domain extension. Finally, we illustrate the analysis with some numerical experiments.
- Subjects :
- Mathematics - Optimization and Control
Mathematics - Dynamical Systems
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2407.19515
- Document Type :
- Working Paper