Control Theory of Stochastic Distributed Parameter Systems: Some Recent Progresses

报告人：吕琦教授（四川大学）

时 间：2024年4月7日 10：20-11：20

地 点：博学楼506会议室、腾讯会议（会议号：981216912）

主办单位：贵州大学数学与统计学院

Abstract

In recent years, important progresses have been made in the control theory for stochastic distributed parameter control systems. However, the theory is far from being complete. The primary difficulty is that many effective tools and methods for deterministic distributed parameter control systems do not work anymore in the stochastic setting. One has to develop new mathematical tools even for some very simple stochastic distributed parameter control systems, such as stochastic transposition method and stochastic Carleman estimate. The objectives of this talk are to provide some new results, to show some new phenomena,  to explain the new difficulties and to present some new methods in this topic. We mainly focus on our works on the controllability for stochastic hyperbolic equations, and the Pontryagin-type maximum principle for controlled stochastic evolution equations as illustrative examples.

个人简介

吕琦，四川大学数学学院教授，博士生导师，国家杰出青年基金获得者，世界数学家大会45分钟报告者。主要研究偏微分方程和随机微分方程的控制理论，尤其在随机偏微分方程极大值原理领域做出开创性工作。