带有混合时滞的惯性神经网络系统的反同步控制  

Anti-synchronization control of inertial neural networks with mixed time delays

作　　者：张国东[1] 龙常青 ZHANG Guodong;LONG Changqing(College of Mathematics and statistics,South-Central University for Nationalities,Wuhan 430074,China)

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2020年第3期321-326,共6页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(61976228,61876192);湖北省自然科学基金资助项目(2019CFB618);中央高校基本科研业务费专项基金资助项目(CZY19025)。

摘　　要：研究了一类带有混合时滞的惯性神经网络系统的反同步控制问题.利用合适的变量替换,将二阶时滞惯性神经网络微分方程转化为一阶时滞微分方程组.借助Lyapunov稳定性理论、反馈控制理论及一些不等式技巧,获得了确保惯性神经网络驱动-响应系统之间反同步的几个充分条件.给出数值仿真例子验证所得结果.The anti-synchronization control problem of a class of inertial neural networks(INNs)with mixed delays is investigated.The second-order INNs are transformed into the first-order differential equation through variable transformations.Several criteria are established to guarantee the anti-synchronization between the drive system and response system of INNs with mixed time delays by Lyapunov stability theory,feedback control theory and some inequality skills.A numerical simulation is given to manifest the feasibility of the obtained results.

关 键 词：神经网络 混合时滞 LYAPUNOV稳定性理论 反同步控制 

分 类 号：O193[理学—数学]