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20062024
most citedFeedback stabilization of a 1D linear reaction-diffusion equation with delay boundary control

120 citations · 777 across the 45 of their papers we have counts for

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Showing 2021Show all

8 papers · 1 filter

math.OC2021

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…

math.OC2021★ 54 cited

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…

math.OC2021★ 4 cited

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…

math.OC2021★ 53 cited

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…

math.OC2021★ 13 cited

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…

eess.SY2021★ 7 cited

Synchronization of Identical Boundary-Actuated Semilinear Infinite-Dimensional Systems

Francesco Ferrante, Giacomo Casadei, Christophe Prieur

This paper deals with synchronization of a class of infinite-dimensional systems. The considered network is described by a collection of semilinear Lipschitz boundary-actuated infi…