Remarks on the application of the Keldysh theorem on the completeness of root subspace of non-self-adjoint operators and comments on ``Spectral operators generated by Timoshenko beam model

DOI10.1016/J.SYSCONLE.2006.06.016zbMath1120.93016OpenAlexW2139064302MaRDI QIDQ864482

Jun-Min Wang, Bao-Zhu Guo

Publication date: 9 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2006.06.016

zbMATH Keywords

completenessgeneralized eigenvectorsKeldysh theoremroot subspace

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Wave equation (35L05) Operator-theoretic methods (93B28) General theory of partial differential operators (47F05)

Related Items (4)

Asymptotic stability and Riesz basis property for tree-shaped network of strings ⋮ Spectral analysis and stabilization of a coupled wave-ODE system ⋮ Stabilization and SDG condition of serially connected vibrating strings system with discontinuous displacement ⋮ Finite dimensional control of multichannel systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bending-torsion vibration model with two-end energy dissipation
• Classes of linear operators. Vol. I
• Linear operator pencils \(A-\lambda B\) with discrete spectrum
• Nonselfadjoint spectral problems for linear pencils \(N- \lambda P\) of ordinary differential operators with \(\lambda\)-linear boundary conditions: Completeness results
• Basis property of eigenfunctions of nonselfadjoint operator pencils generated by the equation of nonhomogeneous damped string
• On the \(C_{0}\)-semigroup generation and exponential stability resulting from a shear force feedback on a rotating beam
• Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass
• Spectral analysis of coupled Euler-Bernoulli and Timoshenko beam model
• Riesz Basis Property of Evolution Equations in Hilbert Spaces and Application to a Coupled String Equation
• Asymptotic and spectral properties of operator-valued functions generated by aircraft wing model
• Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Spectral operators generated by Timoshenko beam model

This page was built for publication: Remarks on the application of the Keldysh theorem on the completeness of root subspace of non-self-adjoint operators and comments on ``Spectral operators generated by Timoshenko beam model