期刊论文详细信息
Advances in Difference Equations | |
Existence and global exponential stability of anti-periodic solutions for quaternion-valued cellular neural networks with time-varying delays | |
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