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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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Showing 2024Show all

6 papers · 1 filter

eess.SY2024

Operator Learning for Robust Stabilization of Linear Markov-Jumping Hyperbolic PDEs

Yihuai Zhang, Jean Auriol, Huan Yu

This paper addresses the problem of robust stabilization for linear hyperbolic Partial Differential Equations (PDEs) with Markov-jumping parameter uncertainty. We consider a 2 x 2…

math.OC2024★ 18 cited

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…

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.DS2024

Stabilization of Integral Delay Equations by solving Fredholm equations

Jean Auriol

In this paper, we design a stabilizing state-feedback control law for a system represented by a general class of integral delay equations subject to a pointwise and distributed inp…

math.OC2024

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…