82 citations · 104 across the 25 of their papers we have counts for
4 papers · 1 filter
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…
Event-Triggered Gain Scheduling of 2 x 2 Linear Hyperbolic PDEs via Neural Operators (Full Version)
Yihuai Zhang, Jean Auriol, Nicolas Espitia +1
This paper introduces a new framework for event-triggered gain scheduling applied to linear hyperbolic Partial Differential Equations (PDEs) with time- and space-varying coefficien…
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…