江苏省应用数学（中国矿业大学）中心系列学术报告
报告题目：Robust sliding mode boundary stabilization for uncertain delay reaction diffusion systems（不确定时滞反应扩散系统的鲁棒滑模边界镇定）
报告人：吴开宁 教授（哈尔滨工业大学）
报告时间：2025年3月17日（周一）10:00-11:00
报告地点：数学学院A302
报告摘要：The robust exponential stabilization is addressed for uncertain delay reaction-diffusion systems (UDRDSs) via sliding mode boundary control (SMBC). Firstly, a novel integral sliding mode surface (SMS) is proposed, on which system states slide to the equilibrium with an exponential convergence rate. Furthermore, the sliding mode boundary controller (SMBCr) is designed to steer system states to the SMS in finite time. A criterion is established for robust exponential stability by utilizing the Lyapunov-Krasovskii functional method and Wirtinger’s inequality. Secondly, the boundary-output-based observer is constructed, and the observer-based SMBC is investigated. The observer states are required to reach the specified SMS in finite time. Then, a sufficient criterion is obtained that ensures the resultant system to realize robust exponential stability under the designed observer-based SMBCr. Finally, two examples of thermal conduction control of semiconductor power chips are proposed to illustrate the validity of theoretical results.
报告人简介：吴开宁，哈尔滨工业大学（威海）数学系教授，博士生导师。1999-2009在哈尔滨工业大学数学系学习，2009年获博士学位。2010年-2011年，在台湾清华大学电机系从事博士后研究，2016年-2017年，在澳大利亚阿德莱德大学做公派访问学者。主持包括国家自然科学基金面上项目在内的科研基金10余项。近年来，在IEEE Transactions on Automatic Control. Automatica, IEEE Transactions on Neural Networks and Learning Systems, IEEE Transactions on Cybernetics等期刊发表SCI论文60余篇。自2024年担任IEEE Transactions on Neural Networks and Learning Systems的Associate Editor. 现为山东省自动化学会理事会理事，中国系统与仿真学会仿真算法委员会委员，美国《数学评论》评论员。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。