Stabilization and Gevrey Regularity of a Schrödinger Equation in Boundary Feedback With a Heat Equation

DOI10.1109/TAC.2011.2164299zbMath1369.93510WikidataQ59621654 ScholiaQ59621654MaRDI QIDQ5352680

Jun-Min Wang, Beibei Ren, Krstić, Miroslav

Publication date: 8 September 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum control (81Q93)

Related Items (33)

Sliding mode boundary control for vibration suppression in a pinned-pinned Euler–Bernoulli beam with disturbances ⋮ Stability of an interconnected Schrödinger-heat system in a torus region ⋮ Stability of an interconnected system of euler−bernoulli beam and heat equation with boundary coupling ⋮ Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling ⋮ Stabilization of a 1-D transmission problem for the Rayleigh beam and string with localized frictional damping ⋮ Dynamic Boundary Stabilization of a Schrödinger Equation Through a Kelvin-Voigt Damped Wave Equation ⋮ Noncollocated robust output regulation of an unstable heat equation with recycle ⋮ Vibration suppression and angle tracking of a fire-rescue ladder ⋮ Stabilization and regularity transmission of a Schrödinger equation through boundary connections with a Kelvin‐Voigt damped beam equation ⋮ Energy decay estimates for a two‐dimensional coupled wave‐plate system with localized frictional damping ⋮ Stability for an interface transmission problem of wave-plate equations with dynamical boundary controls ⋮ Spatiotemporal adaptive state feedback control of a linear parabolic partial differential equation ⋮ Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations ⋮ Stability and Gevrey regularity for some transmission systems involving a degenerate parabolic component ⋮ Stabilization of an ODE-Schrödinger cascade ⋮ Stabilization of the pendulum system by coupling with a heat equation ⋮ Stability and regularity transmission for coupled beam and wave equations through boundary weak connections ⋮ Robust adaptive control of a thruster assisted position mooring system ⋮ Stability of an interconnected system of Euler-Bernoulli beam and wave equation through boundary coupling ⋮ Boundary feedback stabilization of a Schrödinger equation interconnected with a heat equation ⋮ Stability of a Damped Hyperbolic <scp>T</scp>imoshenko System Coupled with a Heat Equation ⋮ Stabilisation of Schrödinger equation in dynamic boundary feedback with a memory-typed heat equation ⋮ Distributed control of a class of flexible mechanical systems with global constraint ⋮ Sliding mode control of Schrödinger equation-ODE in the presence of unmatched disturbances ⋮ On Stability Equivalence between Dynamic Output Feedback and Static Output Feedback for a Class of Second Order Infinite-Dimensional Systems ⋮ Exponential stability of a transmission system coupling plate equation and heat equation with memory ⋮ Explicit decay rate for a degenerate hyperbolic-parabolic coupled system ⋮ Exact controllability of the interconnected Schrödinger and wave equations with a boundary control at the wave equation ⋮ Vibration control and stability analysis of a nanobeam with boundary prescribed performance ⋮ Static output feedback control design for linear MIMO systems with actuator dynamics governed by diffusion PDEs ⋮ Boundary control of a Timoshenko beam system with input dead-zone ⋮ Cooperative control of a nonuniform gantry crane with constrained tension ⋮ Stability of transmission wave-plate equations with local indirect damping

This page was built for publication: Stabilization and Gevrey Regularity of a Schrödinger Equation in Boundary Feedback With a Heat Equation