报告人：王鹏飞

主持人：哈尔滨工业大学陈献勇

报告题目：Finite-dimensional observer-based boundary control of stochastic 1D parabolic PDEs

摘要：Recently, a constructive method for the finite-dimensional observer-based control of deterministic parabolic PDEs was suggested by employing a modal decomposition approach. In this talk, we will talk about the extension of this method to the stochastic 1D heat equation with multiplicative noise. We consider the Neumann actuation and study the observer-based control via the modal decomposition approach and dynamic extension. By suggesting a direct Lyapunov method and employing It\^{o}'s formula, we provide mean-square L^2 exponential stability analysis of the full-order closed-loop system, leading to linear matrix inequality (LMI) conditions for finding the observer dimension and as large as possible noise intensity bound for the mean-square stabilizability. We also consider the sampled-data control (delay robustness) and delay compensation of large input delay for stochastic 1D parabolic PDEs.

报告时间：2024年3月5 日20:00-22:00 (北京时间)

报告地点：腾讯会议   会议号：384 363 162 

报告人简介：王鹏飞，以色列Azrieli 博后奖学金获得者，博士毕业于哈尔滨工业大学，现为以色列特拉维夫大学电气工程学院博后。获得哈尔滨工业大学优秀博士论文奖，宝钢优秀学生奖，哈工大春晖创新奖学金等。研究方向为分布参数系统（PDE系统，时滞系统）的控制问题。目前已在IEEE TAC, Automatica, SICON, SCL 等期刊发表多篇论文。