Stabilization of the Timoshenko beam system with restricted boundary feedback controls

DOI10.1007/s10440-015-0008-3zbMath1381.93086OpenAlexW1965395498MaRDI QIDQ267767

Zhong-Jie Han, Dongyi Liu, Gen-Qi Xu, Li-Ping Zhang

Publication date: 11 April 2016

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-015-0008-3

zbMATH Keywords

stabilityTimoshenko beamboundary controlnonlinear monotone operatorweak sequentially lower semi-continuity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with control and optimization (35Q93) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (4)

One-parameter spectral Galerkin methods for Timoshenko beam system with delay boundary feedback ⋮ Asymptotic behavior of a Schrödinger equation under a constrained boundary feedback ⋮ Asymptotic behavior of the Timoshenko-type system with nonlinear boundary control ⋮ Stabilisation of Timoshenko beam system with a tip payload under the unknown boundary external disturbances

Cites Work

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• Superstability of systems
• A finite difference scheme for solving the Timoshenko beam equations with boundary feedback
• Feedback stabilization of a linear control system in Hilbert space with an a priori bounded control
• Nonlinear evolution equations - global behavior of solutions
• Dynamic boundary control of the Timoshenko beam
• Feedback stabilization of a hybrid PDE-ODE system: Application to an overhead crane
• Boundary feedback stabilization of a variant of the SCOLE model
• Nonlinear feedback control of Timoshenko beam
• Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach
• A Timoshenko beam with tip body and boundary damping
• Spectral analysis and system of fundamental solutions for Timoshenko beams
• Nonlinear semigroups in Hilbert space
• Asymptotic behavior of nonlinear contraction semigroups
• Riesz basis property of serially connected Timoshenko beams
• Weak asymptotic decay via a “relaxed invariance principle” for a wave equation with nonlinear, non-monotone damping
• Boundary Control of the Timoshenko Beam
• The Riesz basis property of a Timoshenko beam with boundary feedback and application
• Super-stability and the spectrum of one-dimensional wave equations on general feedback controlled networks
• Riesz basis and stabilization for the flexible structure of a symmetric tree‐shaped beam network

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