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A block moment method to handle spectral condensation phenomenon in parabolic control problems
A Benabdallah, F Boyer… - Annales Henri …, 2020 - ahl.centre-mersenne.org
This article is devoted to the characterization of the minimal null control time for abstract
linear control problem. More precisely we aim at giving a precise answer to the following …
linear control problem. More precisely we aim at giving a precise answer to the following …
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions
M González-Burgos, L Ouaili - ar**. Part 1. Distributed control
S Avdonin, J Edward, SA Ivanov - Journal of Differential Equations, 2025 - Elsevier
Let Δ be the Dirichlet Laplacian on the interval (0, π). The null controllability properties of the
equation ut t+ Δ 2 u+ ρ (− Δ) α ut= F (x, t) are studied. Let T> 0, and assume initial conditions …
equation ut t+ Δ 2 u+ ρ (− Δ) α ut= F (x, t) are studied. Let T> 0, and assume initial conditions …
Boundary null controllability of some multi-dimensional linear parabolic systems by the moment method
In this article we study the null controllability of some abstract linear parabolic systems in
tensor product spaces. This special structure allows us to reduce our controllability problem …
tensor product spaces. This special structure allows us to reduce our controllability problem …
Distributed null-controllability of some 1D cascade parabolic systems
F Boyer, M Morancey - 2024 - hal.science
We consider several coupled systems of one-dimensional linear parabolic equations where
only one equation is controlled with a distributed control. For these systems we study the …
only one equation is controlled with a distributed control. For these systems we study the …