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 | |
article | |
Li, Yongkun1  Xiang, Jianglian1  | |
[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 | |
学科分类:航空航天科学 | |
来源: SpringerOpen | |
【 摘 要 】
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】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202108070003928ZK.pdf | 1910KB | download |