82 citations · 104 across the 25 of their papers we have counts for
17 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…
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…
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 and Optimal Control of an Interconnected Hetero-directional Hyperbolic PDE-SDE System
Gabriel Velho, Jean Auriol, Islam Boussaada +1
In this paper, we design a controller for an interconnected system composed of a linear Stochastic Differential Equation (SDE) controlled through a linear hetero-directional hyperb…
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…
Backstepping for Partial Differential Equations:A Survey
Rafael Vazquez, Jean Auriol, Federico Bribiesca-Argomedo +1
Systems modeled by partial differential equations (PDEs) are at least as ubiquitous as systems that are by nature finite-dimensional and modeled by ordinary differential equations…
Stabilization and Optimal Control of Interconnected SDE - Scalar PDE System
Gabriel Velho, Jean Auriol, Riccardo Bonalli +1
In this paper, we design a controller for an interconnected system consisting of a linear Stochastic Differential Equation (SDE) actuated through a linear hyperbolic Partial Differ…
Robust Boundary Stabilization of Stochastic Hyperbolic PDEs
Yihuai Zhang, Jean Auriol, Huan Yu
This paper proposes a backstepping boundary control design for robust stabilization of linear first-order coupled hyperbolic partial differential equations (PDEs) with Markov-jumpi…
Mean-Covariance Steering of a Linear Stochastic System with Input Delay and Additive Noise
Gabriel Velho, Riccardo Bonalli, Jean Auriol +1
In this paper, we introduce a novel approach to solve the (mean-covariance) steering problem for a fairly general class of linear continuous-time stochastic systems subject to inpu…
A Gradient Descent-Ascent Method for Continuous-Time Risk-Averse Optimal Control
Gabriel Velho, Jean Auriol, Riccardo Bonalli
In this paper, we consider continuous-time stochastic optimal control problems where the cost is evaluated through a coherent risk measure. We provide an explicit gradient descent-…
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…
Simultaneous Stabilization of Traffic Flow on Two Connected Roads
Huan Yu, Jean Auriol, Miroslav Krstic
In this paper we develop a boundary state feedback control law for a traffic flow network system in its most fundamental form: one incoming and one outgoing road connected by a jun…
Delay-robust control design for two heterodirectional linear coupled hyperbolic PDEs
Jean Auriol, Jakob Ulf, Philippe Martin +1
We detail in this article the necessity of a change of paradigm for the delay-robust control of systems composed of two linear first order hyperbolic equations. One must go back to…