报告题目：State Transition Matrix Methods for Discrete-Time Stochastic Systems and Their Applications

报 告 人：张天良

报告摘要：This report investigates the mean-square finite-time stabilizability, mean-square stabilizability, and mean-square asymptotic/exponential stabilizability of linear discrete time-varying stochastic (LDTVS) systems. First, a novel state transition matrix (STM) approach is adopted to study the feedback stabilization problem of LDTVS systems. Based on the STM approach, necessary and sufficient conditions for the aforementioned stabilization problems are proposed respectively, which are characterized through STM and generalized constrained Lyapunov equations/inequalities. More importantly, necessary and sufficient LMI-based conditions are provided for mean-square finite-time stabilizability and mean-square stabilizability, which prove particularly convenient for controller design.

报告人简介：张天良，青岛理工大学副教授，山东省泰山学者青年专家，中国自动化学会青年工作委员会委员，江苏省卓越博士后，主要从事随机系统控制、预定义时间控制等方向的研究，迄今已在国际权威期刊发表SCI论文40余篇，其中包括控制领域顶级期刊《IEEE Transactions on Automatic Control》和《Automatica》论文8篇，并有2篇论文入选ESI高被引论文，1篇论文被评为热点论文，先后在台湾清华大学、澳大利亚阿德莱德大学、香港城市大学和南方科技大学进行联合培养或承担访问学者工作，目前担任SCI期刊Mathematics客座编辑、JAI青年编委，近年来主持国家自然科学基金和省部级以上科研项目7项。

报告时间： 2025年4月3日14:30-16:00

报告地点：腾讯会议#225 519 569

报告邀请人：李忠同

主办单位：数学学院

初审：陈凤芹

复审：刘春晗

终审：郑延亮