Robust stability analysis of impulsive quaternion-valued neural networks with distributed delays and parameter uncertainties

Advances in Difference Equations

article

Zhou, Jielin¹  Tan, Yuanshun¹  Chen, Xiaofeng¹  Liu, Zijian¹ 

[1] College of Mathematics and Statistics, Chongqing Jiaotong University

关键词: Quaternion-valued neural networks;    Distributed delays;    Global robust stability;    Lyapunov stability theorem;   

DOI  :  10.1186/s13662-020-03078-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, an impulsive quaternion-valued neural networks (QVNNs) model with leakage, discrete, and distributed delays is considered. Based on the homeomorphic mapping method, Lyapunov stability theorem, and linear matrix inequality (LMI) approach, sufficient conditions for the existence, uniqueness, and global robust stability of the equilibrium point of the impulsive QVNNs are provided. A numerical example is provided to confirm the obtained results. A conclusion is presented in the end.

【 授权许可】

CC BY