TY - JOUR
T1 - Exact Boundary Controllability on a Planar Tree-Like Network of Vibrating Strings with Dynamical Boundary Conditions
AU - Li , Tatsien
AU - Wang , Yue
JO - Journal of Mathematical Study
VL - 3
SP - 227
EP - 252
PY - 2018
DA - 2018/08
SN - 51
DO - http://doi.org/10.4208/jms.v51n3.18.01
UR - https://global-sci.org/intro/article_detail/jms/12656.html
KW - A planar tree-like network of vibrating strings, dynamical boundary condition, exact boundary controllability.
AB - <p style="text-align: justify;">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.</p>