54 citations · 566 across the 29 of their papers we have counts for
26 papers · 1 filter
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…
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…
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…
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…
An LMI Condition for the Robustness of Constant-Delay Linear Predictor Feedback with Respect to Uncertain Time-Varying Input Delays
Hugo Lhachemi, Christophe Prieur, Robert Shorten
This paper discusses the robustness of the constant-delay predictor feedback in the case of an uncertain time-varying input delay. Specifically, we study the stability of the close…
ISS Property with Respect to Boundary Disturbances for a Class of Riesz-Spectral Boundary Control Systems
Hugo Lhachemi, Robert Shorten
This paper deals with the establishment of Input-to-State Stability (ISS) estimates for infinite dimensional systems with respect to both boundary and distributed disturbances. Fir…
Input-to-State Stability of a Clamped-Free Damped String in the Presence of Distributed and Boundary Disturbances
Hugo Lhachemi, David Saussié, Guchuan Zhu +1
This note establishes the Exponential Input-to-State Stability (EISS) property for a clamped-free damped string with respect to distributed and boundary disturbances. While efficie…