2 citations · 2 across the 7 of their papers we have counts for
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Boundary stabilization of one-dimensional cross-diffusion systems in a moving domain: linearized system
Jean Cauvin-Vila, Virginie Ehrlacher, Amaury Hayat
We study the boundary stabilization of one-dimensional cross-diffusion systems in a moving domain. We show first exponential stabilization and then finite-time stabilization in arb…
Fredholm transformation on Laplacian and rapid stabilization for the heat equation
Ludovick Gagnon, Amaury Hayat, Shengquan Xiang +1
We study the rapid stabilization of the heat equation on the 1-dimensional torus using the backstepping method with a Fredholm transformation. We prove that, under some assumption…
Global exponential stability and Input-to-State Stability of semilinear hyperbolic systems for the norm
Amaury Hayat
In this paper we study the global exponential stability in the norm of semilinear - hyperbolic systems on a bounded domain, when the source term and the nonlinear bou…
Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances
Georges Bastin, Jean-Michel Coron, Amaury Hayat
We give sufficient conditions for Input-to-State Stability in norm of general quasilinear hyperbolic systems with boundary input disturbances. In particular the derivation…