Almost periodic solutions of recurrent neural networks with continuously distributed delays

作者：Xiang, Hongjun; Cao, Jinde^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(12): 6097-6108.

DOI：10.1016/j.na.2009.05.079

• Recurrent neural networks
• Almost periodic solution
• Distributed delay
• Lyapunov functional

In this paper, a class of recurrent neural networks with continuously distributed delays is discussed. Without resorting to the theory of exponential dichotomy, several new sufficient conditions are obtained ensuring the existence of an almost periodic solution for this model based on a special functional and analysis technique. Moreover, by constructing suitable Lyapunov functions, the attractivity, and exponential stability of the almost periodic solution are also considered for the system. The results obtained are helpful to design globally stable almost periodic oscillatory neural networks. A numerical example is given to show the feasibility of the results obtained.

• 出版日期2009-12-15
• 单位湘南学院; 东南大学