Uniform stabilization of a multilayer Rao-Nakra sandwich beam

DOI10.3934/EECT.2013.2.695zbMath1274.35405arXiv1311.2662OpenAlexW2005648108MaRDI QIDQ380827

Scott W. Hansen, Ahmet Özkan Özer

Publication date: 14 November 2013

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2662

zbMATH Keywords

Riesz basisboundary feedback stabilizationBari's theoremcompact perturbationmultilayer beamRayleigh beam

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (12)

Polynomial stability of the Rao-Nakra beam with a single internal viscous damping ⋮ Long-time behavior of a nonlinearly-damped three-layer Rao-Nakra sandwich beam ⋮ Rao-Nakra model with internal damping and time delay ⋮ Analysis of exponential stabilization for Rao-Nakra sandwich beam with time-varying weight and time-varying delay: multiplier method versus observability ⋮ On the stability of a linear Cauchy Rao-Nakra sandwich beam under frictional dampings ⋮ Stabilization of the generalized Rao‐Nakra beam by partial viscous damping ⋮ Stability of solution for Rao-Nakra sandwich beam model with Kelvin-Voigt damping and time delay ⋮ Dynamic and electrostatic modeling for a piezoelectric smart composite and related stabilization results ⋮ Stability of an interconnected system of Euler-Bernoulli beam and wave equation through boundary coupling ⋮ Weak stability of a laminated beam ⋮ Exponential stability of an active constrained layer beam actuated by a voltage source without magnetic effects ⋮ Stabilization results for well-posed potential formulations of a current-controlled piezoelectric beam and their approximations

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