Araruna FD, Zuazua E (2008)
Publication Type: Journal article
Publication year: 2008
Book Volume: 47
Pages Range: 1909-1938
Journal Issue: 4
DOI: 10.1137/060659934
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.
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://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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