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Eigenvalue perturbation models for flexible structures

[1991] Proceedings of the 30th IEEE Conference on Decision and Control, 2002
Uncertainty in flexible structures is often modeled as real parametric variations in modal frequency and damping. Robust control theory provides powerful design methodologies (H∞ and µ-synthesis) which are readily applied to systems modeled with complex valued perturbations.
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Eigenvalues of the real generalized eigenvalue equation perturbed by a low-rank perturbation

Journal of Mathematical Chemistry, 1992
The low-rank perturbation (LRP) method solves the perturbed eigenvalue equation (B +V)Ψ k = ɛ k (C +P)Ψ k , where the eigenvalues and the eigenstates of the related unperturbed eigenvalue equationBΦ i = λ i CΦ i are known. The method is designed for arbitraryn-by-n matricesB, V, C, andP, with the only restriction that the eigenstates Φ i of the ...
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Singular perturbations with origin eigenvalues

International Journal of Control, 1987
Abstract The aim of this study is to apply singular perturbation theory to systems with origin eigenvalues. If the reduced system has origin eigenvalues with Jordan block sizes equal to one then this guarantees the stability of the original system. However, if these sizes are greater than one then the reduced system does not give any information about ...
MÜBECCEL DEMİREKLER   +1 more
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Perturbation of eigenvalues embedded at a threshold

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2002
Results are obtained on perturbation of eigenvalues and half-bound states (zero-resonances) embedded at a threshold. The results are obtained in a two-channel framework for small off-diagonal perturbations. The results are based on given asymptotic expansions of the component Hamiltonians.
Jensen, Arne, Melgaard, Michael
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Eigenvalue reanalysis by improved perturbation

International Journal for Numerical Methods in Engineering, 1988
AbstractA new efficient method of eigenvalue reanalysis has been developed based on the perturbation method such that first the differential equations which describe the change of the eigenvalues and eigenvectors of a system being modified are derived from the perturbation method and then the solutions of these equations are obtained by following them ...
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ANALYTIC PERTURBATIONS OF MULTIPARAMETER EIGENVALUE PROBLEMS

The Quarterly Journal of Mathematics, 1979
Browne, Patrick J., Sleeman, B. D.
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Singular perturbation of eigenvalues

Archive for Rational Mechanics and Analysis, 1969
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Eigenvalue perturbations of the Laplacian

2009
Habib Ammari, Hyeonbae Kang, Hyundae Lee
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