Controllability of the Kirchhoff system for beams as a limit of the Mindlin-Timoshenko system

Araruna FD, Zuazua E (2008)

Publication Type: Journal article

Publication year: 2008

Journal

SIAM Journal on Control and Optimization Society for Industrial and Applied Mathematics

Book Volume: 47

Pages Range: 1909-1938

Journal Issue: 4

DOI: 10.1137/060659934

Abstract

We consider the dynamical one-dimensional Mindlin-Timoshenko system for beams. We analyze how its controllability properties depend on the modulus of elasticity in shear k. In particular we prove that the exact boundary controllability property of the Kirchhoff system may be obtained as a singular limit, as k -> infinity, of the partial controllability of projections over a sharp subspace of solutions generated by the eigenfunctions that converge, as k -> infinity, towards the spectrum of the Kirchhoff system.

Authors with CRIS profile

Enrique Zuazua Iriondo

Involved external institutions

Universidade Federal da Paraíba BR Brazil (BR) Universidad Autónoma de Madrid (UAM) ES Spain (ES)

How to cite

APA:

Araruna, F.D., & Zuazua, E. (2008). Controllability of the Kirchhoff system for beams as a limit of the Mindlin-Timoshenko system. SIAM Journal on Control and Optimization, 47(4), 1909-1938. https://dx.doi.org/10.1137/060659934

MLA:

Araruna, F. D., and Enrique Zuazua. "Controllability of the Kirchhoff system for beams as a limit of the Mindlin-Timoshenko system." SIAM Journal on Control and Optimization 47.4 (2008): 1909-1938.

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