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Eigenvalue perturbation models for flexible structures
[1991] Proceedings of the 30th IEEE Conference on Decision and Control, 2002Uncertainty 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, 1992The 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, 1987Abstract 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, 2002Results 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, 1988AbstractA 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, 1979Browne, Patrick J., Sleeman, B. D.
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Singular perturbation of eigenvalues
Archive for Rational Mechanics and Analysis, 1969openaire +2 more sources
Eigenvalue perturbations of the Laplacian
2009Habib Ammari, Hyeonbae Kang, Hyundae Lee
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