Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz and bounded activation functions

作者：Cai, Mingshan; Xiong, Wanmin^*

来源：Physics Letters A, 2007, 362(5-6): 417-423.

DOI：10.1016/j.physleta.2006.10.076

• shunting inhibitory cellular neural networks
• almost periodic solution
• exponential stability
• time-varying delays

In this Letter the shunting inhibitory cellular neural networks (SICNNs) with time-varying delays are considered. Without assuming the global Lipschitz and bounded conditions of activation functions, some sufficient conditions for the existence and local exponential stability of the almost periodic solutions are established by using the fixed point theorem, Lyapunov functional method and differential inequality techniques. The results of this Letter are new and complement previously known results.

• 出版日期2007-3-12
• 单位湖南文理学院