Existence and global exponential stability of anti-periodic solutions for quaternion-valued cellular neural networks with time-varying delays

Advances in Difference Equations

Yongkun Li¹  Jianglian Xiang¹ 

[1] Department of Mathematics, Yunnan University;

关键词: Quaternion-valued neural network;    Anti-periodic solution;    Coincidence degree;    Wirtinger inequality;    Lyapunov functional;   

DOI  :  10.1186/s13662-020-2523-4

来源: DOAJ

【 摘 要 】

Abstract In this paper, we are concerned with a class of quaternion-valued cellular neural networks with time-varying transmission delays and leakage delays. By applying a continuation theorem of coincidence degree theory and the Wirtinger inequality as well as constructing a suitable Lyapunov functional, sufficient conditions are derived to ensure the existence and global exponential stability of anti-periodic solutions via direct approaches. Our results are completely new. Finally, numerical examples are also provided to show the effectiveness of our results.

【 授权许可】

Unknown