Exponential stability of variable coefficients Rayleigh beams under boundary feedback controls: a Riesz basis approach

DOI10.1016/S0167-6911(03)00205-6zbMath1157.93498MaRDI QIDQ2503560

Jun-Min Wang, Gen-Qi Xu, Siu Pang Yung

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

Riesz basisExponential stabilityRayleigh beamEigenvalue distributions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15)

Related Items

Exponential stability of string system with variable coefficients under non-collocated feedback controls, Stability of an interconnected Schrödinger-heat system in a torus region, Stabilization of a 1-D transmission problem for the Rayleigh beam and string with localized frictional damping, Exponential stability of Rayleigh beam equation on a star‐shaped network with indefinite damping, Stability of a nonuniform Rayleigh beam with indefinite damping, Exponential stability of uniform Euler-Bernoulli beams with non-collocated boundary controllers, Spectral analysis and system of fundamental solutions for Timoshenko beams, Exponential decay rate for a Timoshenko beam with boundary damping, Riesz Basis Generation of Abstract Second-Order Partial Differential Equation Systems with General Non-Separated Boundary Conditions, Riesz basis of exponential family for a hyperbolic system, Optimal energy decay rate of Rayleigh beam equation with only one boundary control force

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stone-reguläre Eigenwertprobleme
• Stability and stabilization of infinite dimensional systems with applications
• Basis property of a Rayleigh beam with boundary stabilization
• On fundamental systems for differential equations of Kamke type
• A compact perturbation method for the boundary stabilization of the Rayleigh beam equation
• Exact controllability of damped Timoshenko beam
• Kamke Problems. Properties of the Eigenfunctions
• The Riesz basis property of a Timoshenko beam with boundary feedback and application
• Riesz Basis Property and Exponential Stability of Controlled Euler--Bernoulli Beam Equations with Variable Coefficients