Feedback stabilization of semilinear heat equations

DOI10.1155/S1085337503212100zbMath1065.93027MaRDI QIDQ1773461

Gengsheng Wang, Viorel Barbu

Publication date: 29 April 2005

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51426

zbMATH Keywords

boundary feedback stabilizationlocal null controllabilityinternal feedback stabilization

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (13)

Boundary feedback stabilization of the monodomain equations ⋮ Internal feedback stabilization of nonstationary solutions to semilinear parabolic systems ⋮ Internal stabilization of a mutualistic reaction diffusion system ⋮ Internal stabilization of semilinear parabolic systems ⋮ Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations ⋮ The stability and stabilization of heat equation in non-cylindrical domain ⋮ Stabilizing Semilinear Parabolic Equations ⋮ Feedback stabilization with one simultaneous control for systems of parabolic equations ⋮ Regularity of solutions of evolution integrodifferential equations with deviating argument ⋮ Solution estimates for semilinear non-autonomous evolution equations with differentiable linear parts ⋮ Finite-dimensional controller design for semilinear parabolic systems ⋮ Boundary feedback stabilization of Boussinesq equations ⋮ Fredholm transformation on Laplacian and rapid stabilization for the heat equation

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