Study of the nodal feedback stabilization of a string-beams network

DOI10.1007/s12190-010-0412-9zbMath1223.35055OpenAlexW2100127992MaRDI QIDQ545602

Michel Mehrenberger, Kaïs Ammari

Publication date: 22 June 2011

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

Full work available at URL: https://doi.org/10.1007/s12190-010-0412-9

zbMATH Keywords

frequency domain methodnumerical stabilization

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Observability (93B07) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Strings (74K05) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (12)

Controllability of a multichannel system ⋮ Energy decay of some boundary coupled systems involving wave Euler-Bernoulli beam with one locally singular fractional Kelvin-Voigt damping ⋮ Explicit decay rate for coupled string-beam system with localized frictional damping ⋮ Observability of a string-beams network with many beams ⋮ Energy decay estimates for a two‐dimensional coupled wave‐plate system with localized frictional damping ⋮ Stability for an interface transmission problem of wave-plate equations with dynamical boundary controls ⋮ Exponential stability of Rayleigh beam equation on a star‐shaped network with indefinite damping ⋮ Thermoelastic stability of a composite material ⋮ Exponential stability of a damped beam-string-beam transmission problem ⋮ Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures ⋮ Linear hyperbolic systems on networks: well-posedness and qualitative properties ⋮ Exponential stability of a network of beams

Cites Work

• Unnamed Item
• Unnamed Item
• Remark on stabilization of tree-shaped networks of strings.
• Stabilization of a transmission wave/plate equation
• Semigroups of linear operators and applications to partial differential equations
• Scattering theory for dissipative hyperbolic systems
• Modeling, analysis and control of dynamic elastic multi-link structures
• Stabilization of generic trees of strings
• Decay rates for a beam with pointwise force and moment feedback.
• Feedback stabilization of a coupled string-beam system
• Quasi exponential decay of a finite difference space discretization of the 1-d wave equation by pointwise interior stabilization
• Stabilization of star-shaped networks of strings.
• Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
• Stabilization of Bernoulli--Euler Beams by Means of a Pointwise Feedback Force
• Asymptotic behavior of some elastic planar networks of Bernoulli–Euler beams
• On the Spectrum of C 0 -Semigroups
• Control of networks of Euler-Bernoulli beams
• Stabilization of second order evolution equations by a class of unbounded feedbacks
• Fourier Series in Control Theory
• Uniformly exponentially stable approximations for a class of second order evolution equations

This page was built for publication: Study of the nodal feedback stabilization of a string-beams network