54 citations · 566 across the 29 of their papers we have counts for
30 papers
Instability conditions for reaction-diffusion-ODE systems
Mathieu Bajodek, Hugo Lhachemi, Giorgio Valmorbida
This paper analyzes the stability of a reactiondiffusion equation coupled with a finite-dimensional controller through Dirichlet boundary input and Neumann boundary output. Going a…
Boundary output feedback stabilisation for 2-D and 3-D parabolic equations
Hugo Lhachemi, Ionut Munteanu, Christophe Prieur
The present paper addresses the topic of boundary output feedback stabilization of parabolic-type equations, governed by linear differential operators which can be diagonalized by…
Local Output Feedback Stabilization of a Nonlinear Kuramoto-Sivashinsky equation
Hugo Lhachemi
This paper is concerned with the local output feedback stabilization of a nonlinear Kuramoto-Sivashinsky equation. The control is located at the boundary of the domain while the me…
Global Output Feedback Stabilization of Semilinear Reaction-Diffusion PDEs
Hugo Lhachemi, Christophe Prieur
This paper addresses the topic of global output feedback stabilization of semilinear reaction-diffusion PDEs. The semilinearity is assumed to be confined into a sector condition. W…
Finite-dimensional observer-based boundary stabilization of reaction-diffusion equations with a either Dirichlet or Neumann boundary measurement
Hugo Lhachemi, Christophe Prieur
This paper investigates the output feedback boundary control of reaction-diffusion equations with either distributed or boundary measurement by means of a finite-dimensional observ…
Integral action for setpoint regulation control of a reaction-diffusion equation in the presence of a state delay
Hugo Lhachemi, Ammar Malik, Robert Shorten
This paper is concerned with the regulation control of a one-dimensional reaction-diffusion equation in the presence of a state-delay in the reaction term. The objective is to achi…
Boundary Output Feedback Stabilization of Reaction-Diffusion PDEs with Delayed Boundary Measurement
Hugo Lhachemi, Christophe Prieur
This paper addresses the boundary output feedback stabilization of general 1-D reaction-diffusion PDEs with delayed boundary measurement. The output takes the form of a either Diri…
Boundary Output Feedback Stabilization of State Delayed Reaction-Diffusion PDEs
Hugo Lhachemi, Robert Shorten
This paper studies the boundary output feedback stabilization of general 1-D reaction-diffusion PDEs in the presence of a state delay in the reaction term. The control input applie…
Predictor-Based Output Feedback Stabilization of an Input Delayed Parabolic PDE with Boundary Measurement
Hugo Lhachemi, Christophe Prieur
This paper is concerned with the output feedback boundary stabilization of general 1-D reaction diffusion PDEs in the presence of an arbitrarily large input delay. We consider the…
Nonlinear Boundary Output Feedback Stabilization of Reaction-Diffusion Equations
Hugo Lhachemi, Christophe Prieur
This paper studies the design of a finite-dimensional output feedback controller for the stabilization of a reaction-diffusion equation in the presence of a sector nonlinearity in…
Local output feedback stabilization of a Reaction-Diffusion equation with saturated actuation
Hugo Lhachemi, Christophe Prieur
This paper is concerned with the output feedback stabilization of a reaction-diffusion equation by means of bounded control inputs in the presence of saturations. Using a finite-di…
Stability analysis of reaction-diffusion PDEs coupled at the boundaries with an ODE
Hugo Lhachemi, Christophe Prieur
This paper addresses the derivation of generic and tractable sufficient conditions ensuring the stability of a coupled system composed of a reaction-diffusion partial differential…
On the derivation of stability properties for time-delay systems without constraint on the time-derivative of the initial condition
Hugo Lhachemi, Robert Shorten
Stability of retarded differential equations is closely related to the existence of Lyapunov-Krasovskii functionals. Even if a number of converse results have been reported regardi…
Finite-dimensional observer-based PI regulation control of a reaction-diffusion equation
Hugo Lhachemi, Christophe Prieur
This paper investigates the output feedback setpoint regulation control of a reaction-diffusion equation by means of boundary control. The considered reaction-diffusion plant may b…
I-nteract 2.0: A Cyber-Physical System to Design 3D Models using Mixed Reality Technologies and Deep Learning for Additive Manufacturing
Ammar Malik, Hugo Lhachemi, Robert Shorten
I-nteract is a cyber-physical system that enables real-time interaction with both virtual and real artifacts to design 3D models for additive manufacturing by leveraging on mixed r…
PI regulation control of a 1-D semilinear wave equation
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
This paper is concerned with the Proportional Integral (PI) regulation control of the left Neu-mann trace of a one-dimensional semilinear wave equation. The control input is select…
Exponential input-to-state stabilization of a class of diagonal boundary control systems with delay boundary control
Hugo Lhachemi, Robert Shorten, Christophe Prieur
This paper deals with the exponential input-to-state stabilization with respect to boundary disturbances of a class of diagonal infinite-dimensional systems via delay boundary cont…
I-nteract: A cyber-physical system for real-time interaction with physical and virtual objects using mixed reality technologies for additive manufacturing
Ammar Malik, Hugo Lhachemi, Robert Shorten
This paper presents I-nteract, a cyber-physical system that enables real-time interaction with real and virtual objects in a mixed augmented reality environment to design 3D models…
Robustness of constant-delay predictor feedback for in-domain stabilization of reaction-diffusion PDEs with time- and spatially-varying input delays
Hugo Lhachemi, Christophe Prieur, Robert Shorten
This paper discusses the in-domain feedback stabilization of reaction-diffusion PDEs with Robin boundary conditions in the presence of an uncertain time- and spatially-varying dela…
Boundary input-to-state stabilization of a damped Euler-Bernoulli beam in the presence of a state-delay
Hugo Lhachemi, Robert Shorten
This paper is concerned with the point torque boundary feedback stabilization of a damped Euler-Bernoulli beam model in the presence of a time-varying state-delay. First, a finite-…
Boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and state-delay
Hugo Lhachemi, Robert Shorten
This paper discusses the boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The prop…
PI Regulation of a Reaction-Diffusion Equation with Delayed Boundary Control
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
The general context of this work is the feedback control of an infinite-dimensional system so that the closed-loop system satisfies a fading-memory property and achieves the setpoi…
Augmented Reality, Cyber-Physical Systems, and Feedback Control for Additive Manufacturing: A Review
Hugo Lhachemi, Ammar Malik, Robert Shorten
Our objective in this paper is to review the application of feedback ideas in the area of additive manufacturing. Both the application of feedback control to the 3D printing proces…
Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems with Delay Boundary Control
Hugo Lhachemi, Christophe Prieur
This paper studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is s…