多比例时滞细胞神经网络的同步性  

Synchronization of Cellular Neural Networks with Multiple Proportional Delays

作　　者：邢琳 周立群[1] XING Lin;ZHOU Li-qun(School of Mathematics Science,Tianjin Normal University,Tianjin 300387,China)

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《电子学报》2020年第10期1961-1968,共8页Acta Electronica Sinica

基　　金：天津市自然科学基金(No.18JCYBJC85800);天津市中青年骨干教师创新人才培养计划(No.135205GC38)。

摘　　要：基于混沌同步控制在保密通信及优化等诸多范畴的遍及应用,本文研究一类驱动-响应系统的同步性问题,包含指数同步性和多项式同步性.这里以一类带多比例时滞的细胞神经网络作为驱动系统,一类不带比例时滞的细胞神经网络作为响应系统.在激活函数满足Lipschitz的条件下,通过设计合适的时滞依赖的控制器,且利用Lyapunov稳定性理论及一些不等式分析探讨误差系统的稳定性,进而得到所研究的驱动-响应系统同步性的两个判定标准,然后给出数值模拟验证所得结果.Based on the general application of chaotic synchronization control in many fields,such as secure communication and optimization,the synchronization of a class of drive-response systems is studied in this paper,including exponential synchronization and polynomial synchronization.One kind of cellular neural network with multiple proportional delays is used as the driving system and the other one without the proportional delay is used for the response system.Under the condition that the activation function satisfies the Lipschitz,by designing a proper delay-dependent controller,using the Lyapunov stability theory and some inequality analysis and discussing the stability of the error system,two criteria of the synchronization for the driven response systems are obtained;then two simulations are shown to verify the results.

关 键 词：多项式同步 指数同步 比例时滞 细胞神经网络 

分 类 号：O17513[理学—数学] TP183[理学—基础数学]