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math.OC2022
Diffusion and robustness of boundary feedback stabilization of hyperbolic systems
Georges Bastin, Jean-Michel Coron, Amaury Hayat
We consider the problem of boundary feedback control of single-input-single-output (SISO) one-dimensional linear hyperbolic systems when sensing and actuation are anti-located. The…
math.AP2022★ 1 cited
Fredholm backstepping for critical operators and application to rapid stabilization for the linearized water waves
Ludovick Gagnon, Amaury Hayat, Shengquan Xiang +1
Fredholm-type backstepping transformation, introduced by Coron and Lü, has become a powerful tool for rapid stabilization with fast development over the last decade. Its strength l…