Stabilizing Semilinear Parabolic Equations

DOI10.1080/01630560500248272zbMath1082.93006OpenAlexW2043061291MaRDI QIDQ5704522

Viorel Barbu, Yue Yan, Daniel Coca

Publication date: 15 November 2005

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560500248272

zbMATH Keywords

Riccati equationfeedback controllerfinite element approximations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Realizations from input-output data (93B15)

Related Items (3)

Stabilizing a mathematical model of population system ⋮ Internal Optimal Controller Synthesis for Navier–Stokes Equations ⋮ Finite-dimensional controller design for semilinear parabolic systems

Cites Work

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• Boundary feedback stabilizability of parabolic equations
• Geometric theory of semilinear parabolic equations
• Nonlinear finite-dimensional control of a class of nonlinear distributed parameter systems using residual mode filters: A proof of local exponential stability
• Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
• Internal stabilization of semilinear parabolic systems
• Feedback stabilization of semilinear heat equations
• Feedback stabilization of Navier–Stokes equations
• A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems
• Internal stabilization of Navier-Stokes equations with finite-dimensional controllers

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