S分布时滞静态神经网络的全局渐近同步性  

Global Asymptotic Synchronization of Static Neural Networks with S-Type Distributed Delays

作　　者：张若军[1] 张垒 Zhang Ruojun;Zhang Lei(School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2021年第9期119-123,共5页Periodical of Ocean University of China

基　　金：中央高校基础科研业务费项目(201964008)资助。

摘　　要：本文研究了一类S分布时滞静态神经网络模型作为驱动-响应系统的全局渐近同步性。在激活函数满足全局Lipschitz连续的条件下,设计了相应的响应系统的控制器,应用Lyapunov泛函方法及一些不等式技巧,得到了易于应用驱动—响应系统全局渐近同步性的的充分性判别准则。最后,通过实例验证了所得结论的有效性。In this paper,we study the global asymptotic synchronization of static neural networks with S-type distributed delays as drive-response system.Under the assumption of global Lipschitz continuous activation function,a controller of the response system is designed by applying Lyapunov functional method and some inequality analysis techniques,the simple sufficient criterion of the synchronization for addressed drive-response system is established.Finally,an example is given to verify the validity of the conclusion.

关 键 词：静态神经网络 S分布时滞 全局渐近同步性 LYAPUNOV泛函 

分 类 号：O175.13[理学—数学]