京师数学前沿论坛 第四十二讲
京师数学前沿论坛
报告题目(Title)：Control Theory of Stochastic Distributed Parameter Systems: Some Recent Progresses
报告人(Speaker)：吕琦教授（四川大学）
地点(Place)：后主楼1124
时间(Time)：2026年6月30日周二 10：00-11：00
报告摘要
In recent years, significant progress has been made in the control theory of stochastic distributed parameter systems. Nevertheless, the theory remains far from complete. A major challenge lies in the fact that many effective tools and methods used for deterministic distributed parameter systems fail in the stochastic context. As a result, new mathematical tools, such as the stochastic transposition method and stochastic Carleman estimates, have to be developed even for relatively simple stochastic distributed parameter systems. The aim of this talk is to present some recent results, highlight new phenomena, clarify the emerging difficulties, and introduce new methodologies in this field. We will focus primarily on our work concerning the controllability of stochastic hyperbolic equations and Pontryagin-type maximum principles for controlled stochastic evolution equations as key illustrative examples.
主讲人简介
吕琦，四川大学数学学院教授，博士生导师。主要研究偏微分方程和随机微分方程的控制理论， 在 CPAM, JEMS, JMPA, SICON 等发表论文多篇，在Springer出版专著三部。担任SIAM Journal on Control and Optimization、ESAIM: Control, Optimisation and Calculus of Variations、Annals of Applied Probability等国际知名期刊的编委。曾受邀在国际数学家大会上作45分钟报告。先后获教育部青年科学奖、霍英东教育基金会高等院校“青年科学奖”， 中国工业与应用数学学会应用数学青年科技奖，中国数学会钟家庆奖，王选杰出青年学者奖，“科学探索奖”等。
