報告人：鄧飛其(華南理工大學)

報告題目：Sufficient and Necessary Condition for the Asymptotic Stability of Stochastic Systems With Discrete Time Feedbacks and Applications

報告摘要：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.

報告時間：2024年7月18日（星期四）15:30-17:00

報告地點：科技樓南樓706室

邀請人：吳付科

報告人簡介：鄧飛其，1983年畢業于湖南大學應用數學專業，獲學士學位，1997年畢業于華南理工大學自動控制專業，獲工學博士學位。曆任華南理工大學工業技術研究總院院長、廣東省人民政府參事、華南理工大學學術委員會委員，現為系統工程研究所所長、IEEE CSS Guangzhou Chapter主席、中國自動化學會會士、中國自動化學會控制理論專業委員會（TCCT）委員、關肇直獎評獎委員會委員、廣東省物聯網技術标準委員會主任、TCCT随機系統控制學組主任，中國仿真學會不确定性系統分析與仿真專業委員會副主任委員。主要研究複雜系統控制理論，出版專著4部，發表論文300多篇。2016、2021年度中國自動化學會優秀博士論文獎指導教師。