报告人：邓飞其(华南理工大学)

报告题目：Sufficient and Necessary Condition for the Asymptotic Stability of Stochastic Systems With Discrete Time Feedbacks and Applications

报告摘要：The talk is concerned with some essential features of stochastic control systems with sampled data based (SCSwSDs). Firstly it is shown by two propositions that the moment asymptotic stability of the underlying system is equivalent to that of any regular accurate numerical scheme under simple conditions, which is convenient to be structured specially for SCSwSDs. This kind of principle provides a way for inferring moment asymptotic stability of SCSwSDs by numerical simulations logically. The accurate scheme construction procedure is introduced in a general framework and illustrated for the quasi linear models, the mean square asymptotic stability of linear SCSwSDs is investigated as the first application of the propositions. It is found that stochastic systems may be stabilized in appointed time by sampled data based control (SDBC). The restriction to the upper bound of the sampling period is confirmed by the way. The almost sure stability of a kind of controlled system with sampled noise is analyzed via the discrete scheme approach as the second application of the propositions. The concepts of accurate numerical computation and simulation (ANCS) are proposed. A distinctive character, SDBC-only in short, for SDBC is reported and studied preliminarily based on ANCS and the equivalence propositions. Some important remarks are given as further analyses on some related issues. Finally, three numerical examples are given to illustrate the applications of the theoretical results of the work.

报告时间：2024年7月18日（星期四）15:30-17:00

报告地点：科技楼南楼706室

邀请人：吴付科

报告人简介：邓飞其，1983年毕业于湖南大学应用数学专业，获学士学位，1997年毕业于华南理工大学自动控制专业，获工学博士学位。历任华南理工大学工业技术研究总院院长、广东省人民政府参事、华南理工大学学术委员会委员，现为系统工程研究所所长、IEEE CSS Guangzhou Chapter主席、中国自动化学会会士、中国自动化学会控制理论专业委员会（TCCT）委员、关肇直奖评奖委员会委员、广东省物联网技术标准委员会主任、TCCT随机系统控制学组主任，中国仿真学会不确定性系统分析与仿真专业委员会副主任委员。主要研究复杂系统控制理论，出版专著4部，发表论文300多篇。2016、2021年度中国自动化学会优秀博士论文奖指导教师。