output
20222026
researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

15 papers

math.OC2026

Controllability of wave-heat and heat-wave cascades

Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat

We study boundary controllability of one-dimensional coupled hyperbolic-parabolic cascades, focusing on the fine structure of reachable sets. The main model is a wave-heat cascade…

math.OC2026

Stabilization of a Wave-Heat Cascade System

Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat

We consider the output-feedback stabilization of a one-dimensional cascade coupling a reaction-diffusion equation and a wave equation through an internal term, with Neumann boundar…

math.AP2025

Stabilization of Quasilinear Parabolic Equations by Cubic Feedback at Boundary with Estimated Region of Attraction

Mohamed Camil Belhadjoudja, M Maghenem, E Witrant +1

For quasilinear parabolic partial differential equations (PDEs) that exhibit finite-time blow up in open loop, i.e., under null boundary conditions, we provide an estimate of the r…

math.OC2025

Boundary output feedback stabilization of a cascade of N heat equations

Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat

This paper solves the problem of output feedback stabilization for a cascade of N heat equations that are coupled at the boundary, the input being a scalar boundary control applied…

math.OC2025

Boundary control of heat-heat cascades

Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat

This paper addresses the problem of feedback stabilization of a cascade of two heat equations that are coupled in the boundary conditions, the input being a boundary control for th…

math.OC2025

Controllability and Stabilization of a Wave-Heat Cascade System

Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat

Considering a wave-reaction-diffusion PDE cascade system with wave Neumann control, we first establish controllability properties in a suitable Hilbert space depending on the coupl…

math.AP2025

Boundary Control for Wildfire Mitigation

Mohamed Camil Belhadjoudja, Mohamed Maghenem, Emmanuel Witrant +1

In this paper, we propose a feedback control strategy to protect vulnerable areas from wildfires. We consider a system of coupled partial differential equations (PDEs) that models…

math.AP2025

Boundary Stabilization of Quasilinear Parabolic PDEs that Blow Up in Open Loop for Arbitrarily Small Initial Conditions

M C Belhadjoudja, M Maghenem, E Witrant +1

We propose a novel framework for stabilization, with an estimate of the region of attraction, of quasilinear parabolic partial differential equations (PDEs) that exhibit finite-tim…

eess.SP2025

Revisiting Split Covariance Intersection: Correlated Components and Optimality

Colin Cros, Pierre-Olivier Amblard, Christophe Prieur +1

Linear fusion is a cornerstone of estimation theory. Implementing optimal linear fusion requires knowledge of the covariance of the vector of errors associated with all the estimat…

math.CA2024

The Regularity of ODEs and Thimble Integrals with Respect to Borel Summation

Veronica Fantini, Aaron Fenyes

Through Borel summation, one can often reconstruct an analytic solution of a problem from its asymptotic expansion. We view the effectiveness of Borel summation as a regularity pro…

eess.SP2024

Pseudorange Rigidity and Solvability of Cooperative GNSS Positioning

Colin Cros, Pierre-Olivier Amblard, Christophe Prieur +1

Global Navigation Satellite Systems (GNSS) are a widely used technology for positioning and navigation. GNSS positioning relies on pseudorange measurements from satellites to recei…

math.CA2023

Regular singular Volterra equations on complex domains

Veronica Fantini, Aaron Fenyes

The inverse Laplace transform can turn a linear differential equation on a complex domain into an equivalent Volterra integral equation on a real domain. This can make things simpl…

eess.SP2023

Fusion of Distance Measurements between Agents with Unknown Correlations

Colin Cros, Pierre-Olivier Amblard, Christophe Prieur +1

Cooperative localization is a promising solution to improve the accuracy and overcome the shortcomings of GNSS. Cooperation is often achieved by measuring the distance between user…

math.OC2022

A Lyapunov approach for the exponential stability of a damped Timoshenko beam

Andrea Mattioni, Yongxin Wu, Yann Le Gorrec

In this technical note, we consider the stability properties of a viscously damped Timoshenko beam equation with spatially varying parameters. With the help of the port-Hamiltonian…

math.AP2022

Wave equation with hyperbolic boundary condition: a frequency domain approach

Nicolas Vanspranghe

In this paper, we investigate the stability of the linear wave equation where one part of the boundary, which is seen as a lower-dimensional Riemannian manifold, is governed by a c…