The structural property of a class of vector-valued hyperbolic equations and applications
type: Item
instance of: scholarly article
title: The structural property of a class of vector-valued hyperbolic equations and applications
zbMATH Open document ID: 1233.35138
author: Gen Qi Xu
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-02-11T00:00:00Z
Mathematics Subject Classification ID: 35L57
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 35P10
zbMATH DE Number: 6005713
zbMATH Keywords: spectrum determined growth condition
zbMATH Keywords: network of Euler-Bernoulli beams
zbMATH Keywords: boundary control
zbMATH Keywords: \(C_{0}\) semigroup
zbMATH Keywords: root vectors
zbMATH Keywords: Riesz basis
Wikidata QID: Q53225516
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.11.028
OpenAlex ID: W2048025789
cites work: Modeling, Stabilization and Control of Serially Connected Beams
cites work: Analysis, Designs, and Behavior of Dissipative Joints for Coupled Beams
cites work: Dynamic domain decomposition of optimal control problems for networks of Euler-Bernoulli beams
cites work: On the analysis and control of hyperbolic systems associated with vibrating networks
cites work: Exponential Stability of Coupled Beams with Dissipative Joints: A Frequency Domain Approach
cites work: On spectrum of a general Petrovsky type equation and Riesz basis of \(N\)-connected beams with linear feedback at joints
cites work: On exact controllability of generic trees
cites work: The eigenvalue problem for networks of beams
cites work: A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks
cites work: Shear force feedback control of a single-link flexible robot with a revolute joint
cites work: On the \(C_{0}\)-semigroup generation and exponential stability resulting from a shear force feedback on a rotating beam
cites work: On the Stabilization of a Flexible Beam with a Tip Mass
cites work: Q4848744
cites work: On the Type of Certain Co-Semigroups
cites work: On the spectrum determined growth assumption and the perturbation of \(C_0\) semigroups
cites work: Riesz Basis Property of Evolution Equations in Hilbert Spaces and Application to a Coupled String Equation
cites work: The Riesz basis property of discrete operators and application to a Euler-Bernoulli beam equation with boundary linear feedback control
cites work: Riesz basis generation, eigenvalues distribution, and exponential stability for a Euler-Bernoulli beam with joint feedback control
cites work: Stabilization of Timoshenko Beam by Means of Pointwise Controls
cites work: Exponential decay rate for a Timoshenko beam with boundary damping
cites work: Riesz basis property of the generalized eigenvector system of a Timoshenko beam
cites work: Asymptotic eigenfrequency distributions for the \(N\)-beam Euler-Bernoulli coupled beam equation with dissipative joints
cites work: The expansion of a semigroup and a Riesz basis criterion
cites work: Expansion of solution in terms of generalized eigenfunctions for a hyperbolic system with static boundary condition
cites work: Riesz basis property of serially connected Timoshenko beams
cites work: Riesz bases for \(p\)-subordinate perturbations of normal operators
cites work: Q4856165
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Asymptotic stability of linear differential equations in Banach spaces
cites work: Q3955832
DOI: 10.1016/J.JMAA.2011.11.028
description: scientific article; zbMATH DE number 6005713