Asymptotic behavior of a Schrödinger equation under a constrained boundary feedback

DOI10.3934/mcrf.2018015zbMath1406.81024OpenAlexW2792892775MaRDI QIDQ1713364

Dongyi Liu, Gen-Qi Xu, Haoyue Cui

Publication date: 24 January 2019

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2018015

zbMATH Keywords

stabilitymaximal monotone operatorSchrödinger equationinvariant principlecollocated observationconstrained boundary control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Monotone operators and generalizations (47H05) Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic stability in control theory (93D20) Quantum control (81Q93)

Related Items

Controller design for distributed parameter systems with time delays in the boundary feedbacks via the backstepping method, Uniform stabilization of 1-D Schrödinger equation with internal difference-type control, On the global finite-time stabilization of bilinear systems by homogeneous feedback laws. Applications to some PDE's

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