Minimal time for boundary controllability of 1-D linear hyperbolic balance laws

讲座题目：Minimal time for boundary controllability of 1-D linear hyperbolic balance laws
讲座时间 Datetime: 2025年9月26日，周五，14:00-16:15
地点 Venue: 腾讯会议：518-786-752
主持人 Host：黄山林 教授
报告人 Speaker: 胡龙 教授
单位 Affiliation: 山东大学 
报告摘要 Abstract:
In this talk, we will first review the classical constructive method to obtain boundary controllability of 1-D linear hyperbolic balance laws. We will then introduce new approaches to characterize the minimal control time for such coupled system under various types of controllability (exact boundary controllability, null boundary controllability as well as internal controllability). Our techniques involve compactness-uniqueness, backstepping with bounded transformation and “unbounded” transformation, canonical decomposition as well as recursive algorithms. Some challenging problems will also be discussed. This talk is based on joint works with Guillaume Olive.
报告人简介：
胡龙，山东大学数学学院教授、国家优秀青年科学基金获得者；其研究领域为双曲型偏微分方程的控制理论，主要工作发表在控制论三大顶期SIAM J. Control Optim.、IEEE Trans. Automat. Control和Automatica及重要数学期刊J. Math. Pures Appl.和J. Funct. Anal.等。