Stability of an Euler-Bernoulli Beam With a Nonlinear Dynamic Feedback System

DOI10.1109/TAC.2015.2499604zbMath1359.93399arXiv1505.07576OpenAlexW2240081463MaRDI QIDQ2980324

Dominik Stürzer, Anton Arnold, Maja Miletić, Andreas Kugi

Publication date: 3 May 2017

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

Full work available at URL: https://arxiv.org/abs/1505.07576

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Asymptotic stability in control theory (93D20) Control/observation systems in abstract spaces (93C25) PDEs in connection with mechanics of deformable solids (35Q74)

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Stochastic stabilization of slender beams in space: modeling and boundary control ⋮ The Analysis of Dynamic Buckling of an Impacted Column using Difference Methods ⋮ Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control ⋮ Exponential stability of a geometric nonlinear beam with a nonlinear delay term in boundary feedbacks ⋮ Adaptive time-varying constraint control for uncertain flexible beam systems ⋮ High‐gain stabilization for an axially moving beam under boundary feedback control ⋮ Closed-loop stability analysis of a gantry crane with heavy chain and payload ⋮ Stabilisation of large motions of Euler–Bernoulli beams by boundary controls ⋮ Fault-tolerant control of flexible air-breathing hypersonic vehicles in linear ODE-beam systems ⋮ Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances ⋮ Well-posedness and stability of non-autonomous semilinear input-output systems

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