Exact boundary controllability on a tree-like network of nonlinear planar Timoshenko beams
Leugering G, Li T, Gu Q (2017)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2017
Journal
Publisher: Springer Verlag
Book Volume: 38
Pages Range: 711-740
Journal Issue: 3
DOI: 10.1007/s11401-017-1092-7
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.
Authors with CRIS profile
Involved external institutions
China (CN)How to cite
APA:
Leugering, G., Li, T., & Gu, Q. (2017). Exact boundary controllability on a tree-like network of nonlinear planar Timoshenko beams. Chinese Annals of Mathematics. Series B, 38(3), 711-740. https://doi.org/10.1007/s11401-017-1092-7
MLA:
Leugering, Günter, Tatsien Li, and Qilong Gu. "Exact boundary controllability on a tree-like network of nonlinear planar Timoshenko beams." Chinese Annals of Mathematics. Series B 38.3 (2017): 711-740.
BibTeX: Download