Stabilization of the Schrödinger equation with a delay term in boundary feedback or internal feedback

DOI10.4171/PM/1879zbMath1217.93143OpenAlexW1980233447MaRDI QIDQ716238

Serge Nicaise, Salah-Eddine Rebiai

Publication date: 27 April 2011

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1879

zbMATH Keywords

feedback stabilizationSchrödinger equationtime delays

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (9)

On the asymptotic stability of the Korteweg-de Vries equation with time-delayed internal feedback ⋮ On the stable difference schemes for the Schrödinger equation with time delay ⋮ Asymptotic behavior of the linearized compressible barotropic Navier‐Stokes system with a time varying delay term in the boundary or internal feedback ⋮ Stability analysis for a coupled Schrödinger system with one boundary damping ⋮ Controller design for distributed parameter systems with time delays in the boundary feedbacks via the backstepping method ⋮ Asymptotic behavior of a Schrödinger equation under a constrained boundary feedback ⋮ Stabilization for Schrödinger equation with a time delay in the boundary input ⋮ Uniform stabilization of 1-D Schrödinger equation with internal difference-type control ⋮ Rapid stabilisation of multi-dimensional Schrödinger equation with the internal delay control

Cites Work

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• Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
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