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.
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Moreles, M. Exact Controllability and Perturbation Analysis for Elastic Beams. Appl Math Optim 49, 201–216 (2004). https://doi.org/10.1007/s00245-003-0784-4
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DOI: https://doi.org/10.1007/s00245-003-0784-4