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 -

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.