82 citations · 104 across the 25 of their papers we have counts for
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Stabilization of 1D Linear Hyperbolic Balance Laws by Integral Difference Control and Application to Networks Stabilization
Adam Braun, Jean Auriol, Lucas Brivadis
This paper develops a unified method for the exponential stabilization of first-order linear hyperbolic balance laws under general actuation, including both underactuated boundary…
On hyperbolic PDEs, filtered feedback control laws, and fractal-like stability crossing curves
Wim Michiels, Federico Bribiesca-Argomedo, Jean Auriol
The paper addresses the boundary control of a class of hyperbolic PDEs, based on an equivalent representation in terms of an integral-difference equation. The situation is consider…
A Spectral Exponential Stability Criterion for Integral Difference Equations and Delay Differential Equations in various state spaces
Adam Braun, Jean Auriol, Lucas Brivadis
It is well-known that the exponential stability of Integral Difference Equations and Delay Difference Equations, in the usual state space of continuous functions, is equivalent to…