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20152026
most citedDelay-robust control design for two heterodirectional linear coupled hyperbolic PDEs

82 citations · 104 across the 25 of their papers we have counts for

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6 papers · 1 filter

math.AP2025

Optimal Control of an Interconnected SDE -Parabolic PDE System

Gabriel Velho, Jean Auriol, Islam Boussaada +1

In this paper, we design a controller for an interconnected system where a linear Stochastic Differential Equation (SDE) is actuated through a linear parabolic heat equation. These…

math.AP2024★ 2 cited

Output-feedback stabilization of an underactuated network of N interconnected n + m hyperbolic PDE systems

Jean Auriol

In this article, we detail the design of an output feedback stabilizing control law for an underactuated network of N subsystems of n + m heterodirectional linear first-order hyper…

math.AP2024

Output-feedback stabilization of a class of n+m linear hyperbolic ODE-PDE-ODE systems

Jean Auriol, Federico Bribiesca Argomedo

In this paper, we design an output-feedback controller to stabilize n +m hetero-directional transport partial differential equations (PDEs) coupled on both domain boundaries to ord…

math.AP2023

Mean-Square Exponential Stabilization of Mixed-Autonomy Traffic PDE System

Yihuai Zhang, Huan Yu, Jean Auriol +1

Control of mixed-autonomy traffic where Human-driven Vehicles (HVs) and Autonomous Vehicles (AVs) coexist on the road has gained increasing attention over the recent decades. This…

math.AP2017

Robust output regulation of 2 x 2 hyperbolic systems part I: Control law and Input-to-State Stability

Pierre-Olivier Lamare, Jean Auriol, Florent Di Meglio +1

We consider the problem of output feedback regulationfor a linear first-order hyperbolic system with collocatedinput and output in presence of a general class of disturbancesand no…

math.AP2015

Minimum time control of heterodirectional linear coupled hyperbolic PDEs

Jean Auriol, Florent Di Meglio

We solve the problem of stabilization of a class of linear first-order hyperbolic systems featuring n rightward convecting transport PDEs and m leftward convecting transport PDEs.…