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20172021
most citedWirtinger-based Exponential Stability for Time-Delay Systems

9 citations · 16 across the 4 of their papers we have counts for

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10 papers · 1 filter

math.OC2021

Lyapunov Stability Analysis of a Mass-Spring system subject to Friction

Matthieu Barreau, Sophie Tarbouriech, Frederic Gouaisbaut

This paper deals with the stability analysis of a mass-spring system subject to friction using Lyapunov-based arguments. As the described system presents a stick-slip phenomenon, t…

math.OC2021

Physics-informed Learning for Identification and State Reconstruction of Traffic Density

Matthieu Barreau, Miguel Aguiar, John Liu +1

We consider the problem of traffic density reconstruction using measurements from probe vehicles (PVs) with a low penetration rate. In other words, the number of sensors is small c…

math.OC20207 cited

Learning-based Traffic State Reconstruction using Probe Vehicles

John Liu, Matthieu Barreau, Mladen Cicic +1

This article investigates the use of a model-based neural-network for the traffic reconstruction problem using noisy measurements coming from probe vehicles. The traffic state is a…

math.OC2020

Learning-based State Reconstruction for a Scalar Hyperbolic PDE under noisy Lagrangian Sensing

M. Barreau, J. Liu, K. H. Johansson

The state reconstruction problem of a heterogeneous dynamic system under sporadic measurements is considered. This system consists of a conversation flow together with a multi-agen…

math.OC2020

Numerical Investigation of Traffic State Reconstruction and Control Using Connected Automated Vehicles

Mladen Cicic, Matthieu Barreau, Karl Henrik Johansson

In this paper we present a numerical study on control and observation of traffic flow using Lagrangian measurements and actuators. We investigate the effect of some basic control a…

math.OC2020

Dynamic Traffic Reconstruction using Probe Vehicles

Matthieu Barreau, Anton Selivanov, Karl Henrik Johansson

This article deals with the observation problem in traffic flow theory. The model used is the semilinear viscous Burgers equation. Instead of using the traditional fixed sensors to…