Exact Controllability and Perturbation Analysis for Elastic Beams

Exact Controllability and Perturbation Analysis for Elastic Beams The Rayleigh beam is a perturbation of the Bernoulli–Euler beam. We establish convergence of the solution of the Exact Controllability Problem for the Rayleigh beam to the corresponding solution of the Bernoulli–Euler beam. Convergence is related to a Singular Perturbation Problem. The main tool in solving this perturbation problem is a weak version of a lower bound for hyperbolic polynomials. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Exact Controllability and Perturbation Analysis for Elastic Beams

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Publisher
Springer-Verlag
Copyright
Copyright © 2004 by Springer-Verlag
Subject
Philosophy
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-003-0784-4
Publisher site
See Article on Publisher Site

Abstract

The Rayleigh beam is a perturbation of the Bernoulli–Euler beam. We establish convergence of the solution of the Exact Controllability Problem for the Rayleigh beam to the corresponding solution of the Bernoulli–Euler beam. Convergence is related to a Singular Perturbation Problem. The main tool in solving this perturbation problem is a weak version of a lower bound for hyperbolic polynomials.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: May 1, 2004

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