Almost periodic cellular neural networks with neutral-type proportional delays

ABSTRACT

This paper presents a new result on the existence, uniqueness and generalised exponential stability of almost periodic solutions for cellular neural networks with neutral-type proportional delays and D operator. Based on some novel differential inequality techniques, a testable condition is derived to ensure that all the state trajectories of the system converge to an almost periodic solution with a positive exponential convergence rate. The effectiveness of the obtained result is illustrated by a numerical example.

KEYWORDS:

• Cellular neural networks
• almost periodic solution
• generalised exponential stability
• neutral-type proportional delay
• D operator

Acknowledgements

The author would like to express the sincere appreciation to the editor and anonymous reviewers for their careful work and thoughtful suggestions that have helped improve this paper substantially. In particular, the author expresses the sincere gratitude to Prof. Bingwen Liu (Jiaxing University, Zhejiang) for the helpful discussion when this revision work was being carried out.

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

This work was supported by the Zhejiang Provincial Natural Science Foundation of China [grant number LY16A010018], [grant number LY18A010019].