Almost periodic solutions for quaternion-valued shunting inhibitory cellular neural networks of neutral type with time delays in the leakage term

作者：Li, Yongkun^*; Meng, Xiaofang

来源：International Journal of Systems Science, 2018, 49(11): 2490-2505.

DOI：10.1080/00207721.2018.1505006

• Almost periodic solutions
• quaternion
• shunting inhibitory cellular neural networks
• neutral type
• leakage delays
• exponential stability

In this paper, we propose a class of quaternion-valued shunting inhibitory cellular neural networks of neutral type with time delays in the leakage term. In order to overcome the difficulty of the non-commutativity of quaternion multiplication, we first decompose the system under consideration into four real-valued systems. Then by using the exponential dichotomy theory of linear differential equations and Banach's fixed point theorem, we establish sufficient conditions to ensure the existence and global exponential stability of almost periodic solutions for this class of neural networks. Finally, a numerical example is given to demonstrate the effectiveness of the obtained result.

• 出版日期2018
• 单位云南大学