scientific article; zbMATH DE number 7343556

zbMath1474.35598MaRDI QIDQ4987757

Serge Nicaise, Denis Mercier, Mohamad Ali Sammoury, Ali Wehbe

Publication date: 4 May 2021

Full work available at URL: http://www.spm.uem.br/bspm/pdf/vol35-3/Art10-3.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Riesz basisobservability inequalityspectral analysisRayleigh beam equationdynamic boundary control

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability in context of PDEs (35B35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with control and optimization (35Q93)

Related Items

A study on damping rates and boundary feedback control in distributed parameter vibrating systems, Well-posedness and polynomial energy decay rate of a transmission problem for Rayleigh beam model with heat conduction, Numerical analysis and simulation for Rayleigh beam equation with dynamical boundary controls, Polynomial stability of a suspension bridge model by indirect dampings, Well-posedness and long time behavior for a general class of Moore-Gibson-Thompson equations with a memory, A finite element scheme for a 2D-wave equation with dynamical boundary control

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal energy decay rate of Rayleigh beam equation with only one boundary control force
• Optimal polynomial decay of functions and operator semigroups
• Semigroups of linear operators and applications to partial differential equations
• Stabilization of a hybrid system of elasticity by feedback boundary damping
• Decay rates for weakly damped systems in Hilbert space obtained with control-theoretic methods
• Rational energy decay rate for a wave equation with dynamical control
• A compact perturbation method for the boundary stabilization of the Rayleigh beam equation
• A general framework for the study of indirect damping mechanisms in elastic systems
• Optimal energy decay rate for Rayleigh beam equation with dynamical boundary controls
• Powers of a contraction in Hilbert space
• Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass
• Optimal Energy Decay Rate for Partially Damped Systems by Spectral Compensation
• A Note on Stabilization of Infinite Dimensional Linear Oscillators by Compact Linear Feedback
• A Note on Weak Stabilizability of Contraction Semigroups
• Stabilization of second order evolution equations by a class of unbounded feedbacks