题目：Minimal Time for Boundary Controllability of 1-D Linear Hyperbolic Balance Laws

报告人：胡龙 教授（山东大学）

地点：致远楼101室

时间：2025年7月4日 16:00–17:00

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，国家优青。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 J. Math. Pures Appl.（JMPA）、J. Funct. Anal.(JFA)、SIAM J. Control Optim.(SICON)、IEEE Trans. Automat. Control (IEEE TAC)、Automatica J. IFAC (Automatica)及 J. Differential Equations (JDE) 等杂志上。主持多项国家自然科学基金项目，且担任基金委函评和会评专家。

欢迎各位参加！