报告题目：Mean-Square Strong Stability and Stabilization of Discrete-time Stochastic Systems with Multiplicative Noises

报告人：严志国 教授

报告时间：2022年12月1日20:00-21:00

报告地点：腾讯会议：812-924-257

报告对象：感兴趣的教师、研究生、本科生

主办单位：beat365

报告人简介：

严志国，齐鲁工业大学教授、现任电子电气与控制学部常务副主任（正处级）。主要从事随机系统有限时间优化控制研究。在国际期刊IEEE TAC、SCL、IJRNC等发表论文多篇，授权发明专利8项，研究成果在移动机器人路径规划控制等方面得到应用。先后主持国家自然科学基金2项。曾获山东省自然科学二等奖（首位）、山东省自动化学会自然科学一等奖（首位）。

报告内容：

The real world is full of random uncertainty. For example, multiplicative stochastic systems have important applications in wireless communication control systems. This report investigates the mean-square strong stability and stabilization of a discrete-time stochastic system corrupted by multiplicative noises. First, the definition of the mean-square (MS) strong stability is addressed to avoid overshoots in system dynamics, and two necessary and sufficient conditions for the MS-strong stability are derived. Moreover, the relationship between MS-strong stability and MS-stability is given. Second, some necessary and sufficient conditions of the MS-strong stabilization via state feedback and output feedback are obtained, respectively. Furthermore, analytical expressions of state feedback (SF) controller and static output feedback (SOF) controller are proposed, respectively. Finally, an equivalent design method for SOF controller and dynamic output feedback (DOF) controller is presented.

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