报告题目：Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative

报告人：王长有（成都信息工程大学）

报告时间：2026年3月6日（星期五）13：00

报告地点：数学科学学院205

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.

报告人简介: 王长有，博士，成都信息工程大学三级教授、校学术委员会及教学指导委员会委员、应用数学中心学术委员会副主任、研究生导师，同时担任美国数学评论（Mathematical Reviews）评论员。曾任重庆市数学学会理事、重庆邮电大学三级教授、应用数学研究所所长、数学学科负责人及研究生导师。王教授在国内外核心及以上期刊发表学术论文150余篇，其中被SCI收录60余篇，多篇论文发表于《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》等国际权威刊物。在科学出版社等国内外出版社出版学术专著3部。主持或主研省部级以上科研项目15项，目前正主持四川省自然科学基金面上项目1项。主要研究领域包括：分数阶时滞神经网络、时滞反应扩散方程、生态系统控制、模糊差分动力系统、图像及视频处理。

编辑：王苗   审核：舒乾宇   终审：屈加文