讲座主题：Boundary control of stochastic reaction-diffusion systems with Markovian switching

专家姓名：吴开宁

工作单位：哈尔滨工业大学（威海）

讲座时间：2021年12月22日 20:10-20:50

讲座地点：腾讯会议，会议ID：695 628 515

主办单位：烟台大学数学与信息科学学院

内容摘要：

This article focuses on the boundary control of stochastic Markovian reaction-diffusion systems (SMRDSs). Both the cases of completely known and partially unknown transition probabilities are considered. By using the Lyapunov functional method, a sufficient condition is obtained under the designed boundary controllers to guarantee the asymptotic mean square stability for SMRDSs with completely known transition probabilities. For the case of partially unknown transition probabilities, we introduce free-connection weighting matrices to handle the boundary control problem. When external disturbance enters the system, a sufficient criterion of H-infinity boundary control is developed. Furthermore, the robust stabilization is investigated for parametric uncertain SMRDSs in both cases. Two examples are presented to demonstrate the efficiency of the proposed approaches.

主讲人介绍：

吴开宁，哈尔滨工业大学（威海）数学系副教授，博士生导师。黑龙江省工业与应用数学会副秘书，中国系统与仿真学会仿真算法委员会委员。研究兴趣包括随机系统理论、偏微分系统边界控制以及微分方程数值方法。近年来发表SCI论文40余篇，承担科研基金项目10余项。2010-2011台湾清华大学电机系博士后，2016-2017年澳大利亚阿德莱德大学电子电器工程系访问学者。