Exact Controllability of
String–Spring–Mass Networks
with Dynamic Junctions
报告专家：王玥 副教授 （复旦大学）
报告时间：10月21日（周三）上午11:10-12:05
报告地点：数学学院西303
报告摘要：
We consider networks of elastic strings coupled through springs and point masses at the junctions. In contrast to classical string networks with Kirchhoff transmission conditions, the presence of masses leads to dynamic coupling conditions and, after reformulation as a first-order hyperbolic system, to nonlocal boundary conditions.
I will first discuss the well-posedness of the coupled system and the additional regularity generated at the point masses. I will then present exact boundary controllability results for star-shaped networks. A characteristic feature of the system is that the spring–mass coupling produces different regularity properties on different components, leading naturally to asymmetric control spaces. I will also explain how the algebraic structure of the junction, in particular the rank of the associated graph Laplacian, enters the controllability analysis.
The talk is based on joint work with Günter Leugering and Charlotte Rodriguez. One can find more in DOI:10.1016/j.matpur.2026.103963.
专家简介：
王玥，复旦大学应用数学中心副教授、副主任、博士生导师。2019年获复旦大学应用数学博士学位，曾在德国埃尔朗根－纽伦堡大学洪堡实验室Dynamics, Control, Machine Learning and Numerics先后从事博士后研究和担任研究组组长。主要研究方向为偏微分方程控制理论及其应用，重点关注双曲型偏微分方程、网络耦合系统的能控性与稳定性，以及高效数值方法。主持德国研究基金会项目和上海市自然科学基金等相关科研项目。
邀请人：张旭
