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- Title
Null controllability of KdV equation in a star-shaped network.
- Authors
Parada, Hugo
- Abstract
The boundary null controllability of a system of $ N $ linear KdV equations posed on a star-shaped network is studied. The controls are located on the right Dirichlet and Neumann conditions of $ N-1 $ edges. First, we study the well-posedness of the system considered by using the notion of solution by transposition and interpolation arguments. Then, a Carleman inequality is shown for the adjoint system. Finally, using a dissipation estimate and the Carleman estimate, we show an observability inequality that is equivalent to null controllability.
- Subjects
CONTROLLABILITY in systems engineering; CARLEMAN theorem; KORTEWEG-de Vries equation; LINEAR equations; EQUATIONS; INTERPOLATION
- Publication
Evolution Equations & Control Theory, 2024, Vol 13, Issue 3, p1
- ISSN
2163-2480
- Publication type
Article
- DOI
10.3934/eect.2024003