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@article{faucris.119702924,
abstract = {This paper concerns a system of equations describing the vibrations of a planar network of nonlinear Timoshenko beams. The authors derive the equations and appropriate nodal conditions, determine equilibrium solutions and, using the methods of quasilinear hyperbolic systems, prove that for tree-like networks the natural initial-boundary value problem admits semi-global classical solutions in the sense of Li [Li, T. T., Controllability and Observability for Quasilinear Hyperbolic Systems, AIMS Ser. Appl. Math., vol 3, American Institute of Mathematical Sciences and Higher Education Press, 2010] existing in a neighborhood of the equilibrium solution. The authors then prove the local exact controllability of such networks near such equilibrium configurations in a certain specified time interval depending on the speed of propagation in the individual beams.},
author = {Leugering, Günter and Li, Tatsien and Gu, Qilong},
doi = {10.1007/s11401-017-1092-7},
faupublication = {yes},
journal = {Chinese Annals of Mathematics. Series B},
keywords = {Exact boundary controllability; Nonlinear Timoshenko beams; Semi-global classical solutions; Tree-like networks},
pages = {711-740},
peerreviewed = {unknown},
title = {{Exact} boundary controllability on a tree-like network of nonlinear planar {Timoshenko} beams},
volume = {38},
year = {2017}
}