Exponential stability of an active constrained layer beam actuated by a voltage source without magnetic effects

DOI10.1016/j.jmaa.2016.11.067zbMath1358.35191OpenAlexW2550476559WikidataQ115570332 ScholiaQ115570332MaRDI QIDQ730222

Chao Yang, Jun-Min Wang

Publication date: 23 December 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.11.067

zbMATH Keywords

Riesz basisexponential stabilityRayleigh beamACL beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

Moment approach to the boundary exact controllability of an active constrained layer beam ⋮ Equivalence between observability at the boundary and exponential stabilization for an ACL beam actuated by a voltage source without magnetic effects ⋮ A novel sensor design for a cantilevered Mead-Marcus-type sandwich beam model by the order-reduction technique ⋮ Analysis of exponential stabilization for Rao-Nakra sandwich beam with time-varying weight and time-varying delay: multiplier method versus observability ⋮ Dynamic and electrostatic modeling for a piezoelectric smart composite and related stabilization results ⋮ Exact observability and controllability for a nonsimple elastic rod ⋮ Stability of an interconnected system of Euler-Bernoulli beam and wave equation through boundary coupling ⋮ Decay rates for 1-d mixed type II and type III thermoelastic system with localized viscous damping ⋮ Exponential stability for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights

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