Applied Mathematics and Optimization

, Volume 49, Issue 3, pp 201–216 | Cite as

Exact Controllability and Perturbation Analysis for Elastic Beams

  • Miguel Angel MorelesEmail author


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.

Exact controllability Elastic beams Hyperbolic operator Singular perturbation Hyperbolic polynomials 


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Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  1. 1.CIMAT, A.P. 402, Guanajuato, GTO 36240Mexico

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