On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback

DOI10.1051/cocv:2008001zbMath1146.93026OpenAlexW2165222908MaRDI QIDQ3516879

Cuilian Zhou, Bao-Zhu Guo, Jun-Min Wang

Publication date: 12 August 2008

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/244889

zbMATH Keywords

exponential stabilityspectral analysisRayleigh beamcollocated control

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Robust stability (93D09) General theory of ordinary differential operators (47E05) Schrödinger operator, Schrödinger equation (35J10) Control/observation systems in abstract spaces (93C25)

Related Items (4)

Pointwise feedback stabilization of an Euler-Bernoulli beam in observations with time delay ⋮ Stabilization of one-dimensional Schrödinger equation under joint feedback control with delayed observation ⋮ Stabilization of a Rayleigh beam with collocated piezoelectric sensor/actuator ⋮ Optimal energy decay rate of Rayleigh beam equation with only one boundary control force

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Boundary problems for ordinary differential equations with parameter in the boundary conditions
• Exact boundary controllability of two Euler-Bernoulli beams connected by a point mass
• Exponential decay of energy of vibrating strings with local viscoelasticity
• On the linear stability of hyperbolic PDEs and viscoelastic flows
• Decay rates for a beam with pointwise force and moment feedback.
• Expansion of solution in terms of generalized eigenfunctions for a hyperbolic system with static boundary condition
• Stability of a nonuniform Rayleigh beam with indefinite damping
• Exponential stability for the wave equations with local Kelvin-Voigt damping
• Riesz bases and exact controllability of \(c_{0}-groups\) with one-dimensional input operators
• Stabilization of Bernoulli--Euler Beams by Means of a Pointwise Feedback Force
• Exponential stabilization of well-posed systems by colocated feedback
• Modeling, Stabilization and Control of Serially Connected Beams
• Analysis, Designs, and Behavior of Dissipative Joints for Coupled Beams
• Boundary Controllability of a Hybrid System Consisting in Two Flexible Beams Connected by a Point Mass
• The rate at which energy decays in a damped String
• A hybrid system consisting in two flexible beams connected by a point mass: spectral analysis and well-posedness in asymmetric spaces
• Stabilization of Timoshenko Beam by Means of Pointwise Controls
• Riesz Basis Property of Evolution Equations in Hilbert Spaces and Application to a Coupled String Equation
• Exponential Stability of Coupled Beams with Dissipative Joints: A Frequency Domain Approach
• The rate at which energy decays in a string damped at one end
• Exponential Stabilization of a Rayleigh Beam Using Collocated Control
• Riesz Basis Generation of Abstract Second-Order Partial Differential Equation Systems with General Non-Separated Boundary Conditions
• Riesz basis generation, eigenvalues distribution, and exponential stability for a Euler-Bernoulli beam with joint feedback control
• Simultaneous control problems for systems of elastic strings and beams

This page was built for publication: On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback