Control Theory of Stochastic Distributed Parameter Systems: Some Recent Progresses

主讲人：吕琦

摘要：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.

主讲人简介：四川大学数学学院教授，2013年获中国数学会钟家庆奖，2018年获中国工业与应用数学学会应用数学青年科技奖，2020年获国家级项目获得者，2022年国际数学家大会(ICM)受邀45分钟报告。主要研究偏微分方程和随机微分方程的控制理论。主要成果发表在Communications on Pure and Applied Mathematics、Journal of the European Mathematical Society、Journal de Mathématiques Pures et Appliquées、SIAM Journal on Control and Optimization、 Journal of Functional Analysis、Journal of Differential Equations和Inverse Problems等刊物上，并在Springer-Verlag出版专著三部；担任SIAM Journal on Control and Optimization, ESAIM: Control, Optimisation and Calculus of Variations和Systems & Control Letters等刊物的编委。

邀请人：黄山林

时间：2023年6月20日（星期二）16:00-17:30