Late-lumping backstepping control of partial differential equations
type: Item
instance of: scholarly article
title: Late-lumping backstepping control of partial differential equations
zbMATH Open document ID: 1411.93158
author: Jean Auriol
author: Kirsten Morris
author: Florent Di Meglio
published in: Automatica
publication date: 2019-04-24T00:00:00Z
full work available at URL: Late-lumping backstepping control of PDEs.pdf
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 7047075
zbMATH Keywords: partial differential equations
zbMATH Keywords: stabilization
zbMATH Keywords: backstepping
zbMATH Keywords: late-lumpingcontrol
MaRDI profile type: Publication
OpenAlex ID: W2791510101
cites work: Control of mixing by boundary feedback in 2D channel flow.
cites work: Boundary Control of the Linearized Ginzburg--Landau Model of Vortex Shedding
cites work: Backstepping PDE Design: A Convex Optimization Approach
cites work: Delay-Robust Control Design for Two Heterodirectional Linear Coupled Hyperbolic PDEs
cites work: Minimum time control of heterodirectional linear coupled hyperbolic PDEs
cites work: Boundary control of coupled reaction-diffusion processes with constant parameters
cites work: Infinite dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability
cites work: Q4386556
cites work: The Linear Regulator Problem for Parabolic Systems
cites work: Stability and boundary stabilization of 1-D hyperbolic systems
cites work: Backstepping in infinite dimension for a class of parabolic distributed parameter systems
cites work: Boundary control of an unstable heat equation via measurement of domain-averaged temperature
cites work: Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
cites work: On Nonconvergence of Adjoint Semigroups for Control Systems with Delays
cites work: Well-Posedness of Boundary Control Systems
cites work: Local exponential \(H^2\) stabilization of a \(2\times 2\) quasilinear hyperbolic system using backstepping
cites work: Finite-Dimensional Compensators for Infinite-Dimensional Systems with Unbounded Input Operators
cites work: A backstepping approach to the output regulation of boundary controlled parabolic PDEs
cites work: Finite-time output regulation for linear \(2\times 2\) hyperbolic systems using backstepping
cites work: A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance
cites work: Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only
cites work: Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion
cites work: Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
cites work: The Trotter-Kato theorem and approximation of PDEs
cites work: Output-feedback stabilization of an unstable wave equation
cites work: Boundary Control of PDEs
cites work: Ritz–Galerkin Approximation of the Time Optimal Boundary Control Problem for Parabolic Systems with Dirichlet Boundary Conditions
cites work: Approximations of riccati equation for abstract boundary control problems applications to hyperbolic systems
cites work: Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions
cites work: Q5601627
cites work: Boundary control of hyperbolic conservation laws using a frequency domain approach
cites work: Conditions for Robustness and Nonrobustness of the Stability of Feedback Systems with Respect to Small Delays in the Feedback Loop
cites work: Convergence of controllers designed using state-space techniques
cites work: \(H^{\infty}\)-output feedback of infinite-dimensional systems via approximation
cites work: Q3159056
cites work: Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
cites work: Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
cites work: Backstepping observers for a class of parabolic PDEs
cites work: Boundary control of an anti-stable wave equation with anti-damping on the uncontrolled boundary
cites work: Explicit integral operator feedback for local stabilization of nonlinear thermal convection loop PDEs
cites work: A Closed-Form Feedback Controller for Stabilization of the Linearized 2-D Navier–Stokes Poiseuille System
cites work: Control of 1-D parabolic PDEs with Volterra nonlinearities. I: Design
cites work: A Bound on the Boundary Input Map for Parabolic Equations with Application to Time Optimal Control
cites work: Stabilization of linearized 2D magnetohydrodynamic channel flow by backstepping boundary control
Wikidata QID: Q128826615
DOI: 10.1016/J.AUTOMATICA.2018.11.024
description: scientific article; zbMATH DE number 7047075