耦合忆阻复值神经网络的固定时间同步  

Fixed-Time Synchronization of Coupled Memristive Complex-Valued Neural Networks

作　　者：冯靓 胡成[1] 于娟[1] FENG Liang;HU Cheng;YU Juan(School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）（中英文）》2021年第2期129-143,共15页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：国家自然科学基金(61963033,61866036,U1703262)。

摘　　要：本文研究了具有时变时滞的耦合忆阻复值神经网络的固定时间同步.首先,引入了复值符号函数来避开传统的分离方法,并建立了一个新的固定时间稳定定理来改进已有的相关结论;然后,通过设计不连续控制策略,利用微分包含理论,建立了主从耦合忆阻复值神经网络的固定时间同步判据.本文的控制策略并不包含线性部分,简化了传统的控制设计;最后,通过数值实例对理论结果进行了验证.This paper investigates the fixed-time synchronization of coupled memristive complex-valued neural networks(MCNNs)with time-varying delay.Firstly,a complex-valued sign function is introduced to avoid the common separation technique and a new fixed-time stability theorem is established to improve the existing ones.Afterward,by proposing a discontinuous control scheme and applying differential inclusion theory,some criteria are derived to achieve fixed-time synchronization of master-salve coupled MCNNs.The developed control scheme here simplifies the traditional design by excluding the linear part.Finally,a numerical example is given to validate of the theoretical results.

关 键 词：复值 耦合神经网络 固定时间同步 忆阻 

分 类 号：O175.7[理学—数学]