Exact Boundary Controllability on a Planar Tree-Like Network of Vibrating Strings with Dynamical Boundary Conditions
Year: 2018
Author: Tatsien Li, Yue Wang
Journal of Mathematical Study, Vol. 51 (2018), Iss. 3 : pp. 227–252
Abstract
This paper concerns a planar tree-like network of vibrating strings with point masses at the nodes. We use a constructive method with modular structure to get the ‘one-sided’ exact boundary controllability for this system with dynamical boundary conditions. Moreover, by constructing the ‘longest’ chain-like subnetwork and its ‘midpoint’, we divide the whole tree-like network into two tree-like sub-networks, and prove the ‘two-sided’ exact boundary controllability.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v51n3.18.01
Journal of Mathematical Study, Vol. 51 (2018), Iss. 3 : pp. 227–252
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: A planar tree-like network of vibrating strings dynamical boundary condition exact boundary controllability.