Coupling estimation and control for a two dimensional Burgers type equation

DOI10.1051/cocv/2014037zbMath1311.93032OpenAlexW2028734654MaRDI QIDQ5250298

Jorge Tiago, Jean-Marie Buchot, Jean-Pierre Raymond

Publication date: 19 May 2015

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2014037

zbMATH Keywords

boundary controlestimationBurgers equationsemilinear parabolic equationscompensatorfeedback lawboundary measurements

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Estimation and detection in stochastic control theory (93E10)

Related Items (9)

Local stabilization of viscous Burgers equation with memory ⋮ Stabilization to trajectories for parabolic equations ⋮ Boundary Stabilization of the Navier--Stokes Equations in the Case of Mixed Boundary Conditions ⋮ Numerical simulations for the stabilization and estimation problem of a semilinear partial differential equation ⋮ Compensator design for the monodomain equations with the FitzHugh−Nagumo model ⋮ Global stabilization of two dimensional viscous Burgers' equation by nonlinear Neumann boundary feedback control and its finite element analysis ⋮ Stabilization and Best Actuator Location for the Navier--Stokes Equations ⋮ Observer-based feedback boundary stabilization of the Navier-Stokes equations ⋮ Semiglobal oblique projection exponential dynamical observers for nonautonomous semilinear parabolic-like equations

Uses Software

• bvp4c

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representation and control of infinite dimensional systems. Volume I
• Abstract settings for stabilization of nonlinear parabolic system with a Riccati-based strategy. Application to Navier-Stokes and Boussinesq equations with Neumann or Dirichlet control
• Boundary feedback stabilization of the two dimensional Navier-Stokes equations with finite dimensional controllers
• Feedback boundary stabilization of the three-dimensional incompressible Navier-Stokes equations
• Semigroups of linear operators and applications to partial differential equations
• Galerkin approximations of infinite-dimensional compensators for flexible structures with unbounded control action
• Partially observed analytic systems with fully unbounded actuators and sensors-FEM algorithms
• Caractérisation de quelques espaces d'interpolation
• Stabilization of Parabolic Nonlinear Systems with Finite Dimensional Feedback or Dynamical Controllers: Application to the Navier–Stokes System
• A Direct Approach to Compensator Design for Distributed Parameter Systems
• Nonlinear feedback stabilization of a two-dimensional Burgers equation
• Finite Dimensional Compensators for Parabolic Distributed Systems with Unbounded Control and Observation
• Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations
• Arbitrary High-Order Finite Element Schemes and High-Order Mass Lumping
• Lyapunov Function and Local Feedback Boundary Stabilization of the Navier–Stokes Equations
• The lumped mass finite element method for a parabolic problem
• Finite-Dimensional Compensators for Infinite-Dimensional Systems with Unbounded Input Operators
• A Schur method for solving algebraic Riccati equations
• Solving ODEs with MATLAB
• Finite Element Approximations of Compensator Design for Analytic Generators with Fully Unbounded Controls/Observations

This page was built for publication: Coupling estimation and control for a two dimensional Burgers type equation