Exact controllability and boundary stabilization of flexural vibrations of an internally damped flexible space structure.

DOI10.1016/S0096-3003(00)00112-0zbMath1037.93045OpenAlexW1978137185MaRDI QIDQ1855169

Sujit K. Bose, Ganesh C. Gorain

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00112-0

zbMATH Keywords

exact controllabilityHilbert uniqueness methodEuler-Bernoulli beamdamping of vibrationsflexible rectangular platemultipliers techniqueVoigt term

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (15)

Asymptotic periodicity for flexible structural systems and applications ⋮ Periodic solutions of third-order degenerate differential equations in vector-valued functional spaces ⋮ Periodic solutions of third-order integro-differential equations in vector-valued functional spaces ⋮ Stabilization for the vibrations modeled by the `standard linear model' of viscoelasticity ⋮ Well‐posedness for the fourth‐order Moore–Gibson–Thompson equation in the class of Banach‐space‐valued Hölder‐continuous functions ⋮ On the analyticity of the abstract MGT-Fourier system ⋮ On positive periodic solutions to third-order integro-differential equations with distributed delays ⋮ Uniform stability of damped nonlinear vibrations of an elastic string ⋮ The exact controllability of Euler-Bernoulli beam systems with small delays in the boundary feedback controls ⋮ Regularity of solutions for a third order differential equation in Hilbert spaces ⋮ L^p-boundedness and topological structure of solutions for flexible structural systems ⋮ Exponential energy decay estimates for the solutions of \(n\)-dimensional Kirchhoff type wave equation ⋮ Well posedness for a class of flexible structure in Hölder spaces ⋮ Well-posedness of Third Order Differential Equations in Hölder Continuous Function Spaces ⋮ Exponential energy decay estimates for the solutions of \(n\)-dimensional Kirchhoff type wave equation

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• Pointwise Stabilization in the Middle of the Span for Second Order Systems, Nonuniform and Uniform Exponential Decay of Solutions
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• A Nonlinear Theory of Viscoelasticity for Application to Elastomers
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