On the spectrum-determined growth condition of a vibration cable with a tip mass

DOI10.1109/9.827360zbMath1047.93528OpenAlexW2161097981MaRDI QIDQ4507031

Bao-Zhu Guo, Cheng-Zhong Xu

Publication date: 17 October 2000

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

Full work available at URL: https://doi.org/10.1109/9.827360

zbMATH Keywords

uniform exponential stabilityasymptotic expansionsemigroupdecay rate of energyboundary velocity feedback controllinear bounday feedback controlspectrum growth conditionvibration cable with a tip mass

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15)

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On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sources ⋮ Stabilization of a wave equation with a tip mass based on disturbance observer of time-varying gain ⋮ Stabilization for a cable with tip mass under boundary input disturbance ⋮ Uniformly exponential stability of semi-discrete scheme for a vibration cable with a tip mass under observer-based feedback control ⋮ On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and source ⋮ Output feedback exponential stabilization for a 1-d wave PDE with dynamic boundary ⋮ Blow-up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources

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