1 citations · 1 across the 11 of their papers we have counts for
12 papers
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…
A superposition approach for the ISS Lyapunov-Krasovskii theorem with pointwise dissipation
Andrii Mironchenko, Fabian Wirth, Antoine Chaillet +1
We show that the existence of a Lyapunov-Krasovskii functional (LKF) with pointwise dissipation (i.e. dissipation in terms of the current solution norm) suffices for input-to-state…
Stabilization of Integral Difference Equations by Solving a Corona Problem
Adam Braun, Jean Auriol, Lucas Brivadis
This paper proposes a stabilizing state-feedback control law for vector-valued state systems with a scalar control input, governed by a general class of integral difference equatio…
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…
Stabilization of a chain of 3 hyperbolic PDEs with 2 inputs in arbitrary position
Adam Braun, Jean Auriol, Lucas Brivadis
This paper addresses the stabilization of a chain of three coupled hyperbolic partial differential equations actuated by two control inputs applied at arbitrary nodes of the networ…
A Backstepping-KKL Observer for a Cascade of a Nonlinear ODE with a Heat Equation
Adam Braun, Lucas Brivadis, Jean Auriol
We propose an observer design for a cascaded system composed of an arbitrary nonlinear ordinary differential equation (ODE) with a 1D heat equation. The nonlinear output of the ODE…
Stabilization of a Chain of Three Hyperbolic PDEs using a Time-Delay Representation
Adam Braun, Jean Auriol, Lucas Brivadis
This paper addresses the stabilization of a chain system consisting of three hyperbolic Partial Differential Equations (PDEs). The system is reformulated into a pure transport syst…
Forward completeness implies bounded reachable sets for time-delay systems on the state space of essentially bounded measurable functions
Lucas Brivadis, Antoine Chaillet, Andrii Mironchenko +1
We consider time-delay systems with a finite number of delays in the state space . In this framework, we show that forward completeness implies the boun…
For time-invariant delay systems, global asymptotic stability does not imply uniform global attractivity
Antoine Chaillet, Fabian Wirth, Andrii Mironchenko +1
Adapting a counterexample recently proposed by J.L. Mancilla-Aguilar and H. Haimovich, we show here that, for time-delay systems, global asymptotic stability does not ensure that s…
Adaptive observer and control of spatiotemporal delayed neural fields
Lucas Brivadis, Antoine Chaillet, Jean Auriol
An adaptive observer is proposed to estimate the synaptic distribution between neurons asymptotically from the measurement of a part of the neuronal activity and a delayed neural f…
Online estimation of Hilbert-Schmidt operators and application to kernel reconstruction of neural fields
Lucas Brivadis, Antoine Chaillet, Jean Auriol
An adaptive observer is designed for online estimation of Hilbert-Schmidt operators from online measurement of the state for some class of nonlinear infinite-dimensional dynamical…
Existence of an equilibrium for delayed neural fields under output proportional feedback
Lucas Brivadis, Cyprien Tamekue, Antoine Chaillet +1
Recently, [2] proved that the closed-loop system resulting from the output proportional feedback stabilization of a class of delayed neural fields is input-to-state stable (ISS) fo…