Publications by Liang Xu | EPFL Graph Search

Related publications (12)

Robust Classification Using Contractive Hamiltonian Neural ODEs

Giancarlo Ferrari Trecate, Muhammad Zakwan, Liang Xu

Deep neural networks can be fragile and sensitive to small input perturbations that might cause a significant change in the output. In this letter, we employ contraction theory to improve the robustness of neural ODEs (NODEs). A dynamical system is contrac ...

2022

A unified framework for Hamiltonian deep neural networks

Giancarlo Ferrari Trecate, Liang Xu, Clara Lucía Galimberti

Training deep neural networks (DNNs) can be difficult due to the occurrence of vanishing/explod- ing gradients during weight optimization. To avoid this problem, we propose a class of DNNs stemming from the time discretization of Hamiltonian systems. The t ...

2021

Neural Energy Casimir Control for Port-Hamiltonian Systems

Giancarlo Ferrari Trecate, Muhammad Zakwan, Liang Xu

The energy Casimir method is an effective controller design approach to stabilize port-Hamiltonian systems at a desired equilibrium. However, its application relies on the availability of suitable Casimir and Lyapunov functions, whose computation are gener ...

2022

Finite-sample-based Spectral Radius Estimation and Stabilizability Test for Networked Control Systems

Giancarlo Ferrari Trecate, Liang Xu, Baiwei Guo

In the analysis and control of discrete-time linear time-invariant systems, the spectral radius of the system state matrix plays an essential role. Usually, it is assumed that system matrices are known, from which the spectral radius can be directly comput ...

IEEE2022

On Consensusability of Linear Interconnected Multi-Agent Systems and Simultaneous Stabilization

Giancarlo Ferrari Trecate, Mustafa Sahin Turan, Liang Xu

Consensusability of multi-agent systems (MASs) certifies the existence of a distributed controller capable of driving the states of each subsystem to a consensus value. We study the consensusability of linear interconnected MASs (LIMASs) where, as in sever ...

2021

Remote State Estimation With Stochastic Event-Triggered Sensor Schedule and Packet Drops

Liang Xu

This article studies the remote state estimation problem of linear time-invariant systems with stochastic event-triggered sensor schedules in the presence of packet drops between the sensor and the estimator. Due to the existence of packet drops, the Gauss ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Suboptimal Distributed LQR Design for Physically Coupled Systems

Giancarlo Ferrari Trecate, Liang Xu, Baiwei Guo, Clara Lucía Galimberti

In this paper, we propose a suboptimal distributed LQR control method, applicable to systems coupled through both physical interconnections and the quadratic cost to be minimized. Thanks to a novel suboptimal but distributed cost-to-go matrix update that e ...

ELSEVIER2020

Consensusability of linear interconnected multi-agent systems

Giancarlo Ferrari Trecate, Mustafa Sahin Turan, Liang Xu

Consensusability is an important property for many multi-agent systems (MASs) as it implies the existence of networked controllers driving the states of MAS subsystems to the same value. Consensusability is of interest even when the MAS subsystems are phys ...

ELSEVIER2020

Measurement of the branching fraction and CP asymmetry in B plus . J/.. plus decays

Jian Wang, Mingkui Wang, Olivier Schneider, Zhirui Xu, Yiming Li, Yi Zhang, Lei Zhang, Yi Wang, Aurelio Bay, Guido Haefeli, Jessica Prisciandaro, Tatsuya Nakada, Mark Tobin, Frédéric Blanc, Minh Tâm Tran, Greig Alan Cowan, Maurizio Martinelli, Vladislav Balagura, Donal Patrick Hill, Liang Sun, Luca Pescatore, François Fleuret, Mirco Dorigo, Jean Wicht, Liupan An, Chitsanu Khurewathanakul, Plamen Hristov Hopchev, Renato Quagliani, Hang Yin, Guido Andreassi, Olivier Göran Girard, Axel Kuonen, Preema Rennee Pais, Aravindhan Venkateswaran, Elena Graverini, Michel De Cian, Maria Elena Stramaglia, Vladimir Macko, Federico Leo Redi, Luis Miguel Garcia Martin, Tommaso Colombo, Vitalii Lisovskyi, Tara Nanut, Violaine Bellée, Guillaume Max Pietrzyk, Pavol Stefko, Pietro Marino, Maria Vieites Diaz, Matthieu Philippe Luther Marinangeli, Maxime Schubiger, Christoph Frei, Michael Thompson McCann, Liang Xu

The branching fraction and direct CP asymmetry of the decay B +. J/.. + are measured using protonproton collision data collected with the LHCb detector at centre- of- mass energies of 7 and 8 TeV, corresponding to a total integrated luminosity of 3 fb - 1. ...

Springer2019

Rotating spokes, potential hump and modulated ionization in radio frequency magnetron discharges

Haomin Sun, Liang Xu

In this work, the transition from the gradient drift instability (GDI) into an m = 1 rotating spoke in the radio frequency magnetron discharge was studied by means of the two-dimensional axial-azimuthal (z - y) particle-in-cell/Monte Carlo collision method ...

Iop Publishing Ltd2023

Hamiltonian Deep Neural Networks Guaranteeing Non-Vanishing Gradients by Design

Giancarlo Ferrari Trecate, Luca Furieri, Liang Xu, Clara Lucía Galimberti

Deep Neural Networks (DNNs) training can be difficult due to vanishing and exploding gradients during weight optimization through backpropagation. To address this problem, we propose a general class of Hamiltonian DNNs (H-DNNs) that stem from the discretiz ...

2023