报告题目：Geometric characteristics of observable regions
报告时间：2025-12-19（周五） 15:25-16:25
报 告 人 ：汪更生 教授 天津大学
报告地点：雷军科技楼六楼644报告厅
腾讯会议ID：614-160-963（同步直播）
报告摘要：
Observability is one of the core research areas in control theory. Different forms of observability inequalities not only correspond to distinct control phenomena but also possess their own mathematical significance. For evolutionary partial differential equations (PDEs), investigating the geometric characteristics of their observable sets/regions is a key component in studying the corresponding observability inequalities. However, research in this field remains far from comprehensive.
In this talk, we first present several distinct observability inequalities within the framework of abstract evolution equations, together with their corresponding control problems. We then introduce the concepts of observable sets and regions for evolutionary PDEs, followed by a review of existing results and main research methods regarding the geometric characteristics of these sets/regions. Finally, we outline a number of open problems related to the geometric characteristics of observable (including weakly observable) sets/regions.
专家简介：
汪更生，天津大学应用数学中心教授，国际数学控制论专家，长期从事分布参数控制系统的研究，在时间最优控制，能观性与能稳性方面做出了系统性的国际领先结果。他目前担任控制论国际知名期刊：SICON, COCV 和 MCRF 的编委。2025年汪更生教授已被邀请将在美国举办的 2026 ICM 会议上作 45分钟邀请报告。
