報告題目: Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative

報 告 人:　王長有 教授

報告時間:　2023年11月29日16：00-18：00

報告地點:　明理樓C302B

報告人簡介:

王長有，博士，成都信息工程大學三級教授、學術委員會及教學指導委員會委員、應用數學中心學術委員會主任、研究生導師，美國數學評論 (Mathematical Reviews) 評論員，曾任重慶市數學學會理事，重慶郵電大學三級教授、應用數學研究所所長、數學學科負責人、研究生導師。在《Applied Mathematical Modelling》、《Applied Mathematics Letters》、《Journal of Mathematical Analysis and Applications》、《Physica A-Statistical Mechanics and Its Applications》、《International Journal of Biomathematics》、《Acta Mathematica Scientia, Series B》等國內外核心以上刊物發表學術論文120余篇，其中被SCI收錄40余篇；在科學出版社出版學術專著1部；主持（或主研）省部級以上科研項目12項。目前主持四川省中央引導地方基金項目1項。主要研究領域包括：時滯反應擴散方程、差分方程、分數階微分方程、生物數學、圖像及視頻處理。

報告內容摘要:

In this talk, we are mainly concerned with the projective synchronization problem of nonautonomous neural networks with time delay and Caputo derivative. First, by introducing time delay and variable coefficient into the known neural network model, the new neural network that can more accurately describe the interaction between neurons is given. Second, based on the improved neural network model, two global synchronization schemes are achieved, respectively. Finally, by constructing two novel Lyapunov functions and utilizing the properties of delay fractional-order differential inequalities, the asymptotic stability of the zero equilibrium point of the error system obtained from the master-slave systems is proved by some new developing analysis methods, respectively, and some criteria for global projective synchronization of delayed nonautonomous neural networks with Caputo derivatives are obtained, respectively, under two new synchronous controllers. In addition, the correctness of the theoretical results obtained in this paper is verified by some numerical simulation. As we all know, there have been a lot of research on the synchronization of integer (fractional) order autonomous neural network models with or without time delay. However, there is little research on the projective synchronization properties of non-autonomous (variable coefficient) neural network models with delay.

主辦單位: 理學院?人工智能研究院?非線性動力系統研究所?

數理力學研究中心 ?科學技術發展研究院