Control Theory of Stochastic Distributed Parameter Systems: Some Recent Progresses

报告题目：Control Theory of Stochastic Distributed Parameter Systems: Some Recent Progresses

报告人：吕琦（四川大学）

时间：2023年5月12日下午4:00开始

地点：腾讯会议

会议ID: 344-270-894

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.

报告人简介：吕琦，四川大学数学学院教授，ICM45min报告人，国家杰出青年基金获得者。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。

联系人：郜传厚（gaochou@zju.edu.cn）