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math.DS2024★ 1 cited
On implicit and explicit representations for 1D distributed port-Hamiltonian systems
Antoine Bendimerad-Hohl, Denis Matignon, Ghislain Haine +1
First, two examples of 1D distributed port-Hamiltonian systems with dissipation, given in explicit (descriptor) form, are considered: the Dzekster model for the seepage of undergro…
math.DS2018
Asymptotic stability of the multidimensional wave equation coupled with classes of positive-real impedance boundary conditions
Florian Monteghetti, Ghislain Haine, Denis Matignon
This paper proves the asymptotic stability of the multidimensional wave equation posed on a bounded open Lipschitz set, coupled with various classes of positive-real impedance boun…