Anti-periodic solutions for a class of Cohen–Grossberg neural networks with time-varying delays on time scales

Abstract

In this article, a class of Cohen–Grossberg neutral networks (CGNNs) with time-varying delays on time scales is considered. We establish some sufficient conditions on the existence and exponential stability of anti-periodic solutions for CGNNs

where t ∈ 𝕋, 𝕋 is a periodic time scale, i = 1, 2, …, n.

Keywords:

• Cohen–Grossberg neural networks (CGNNs)
• time-varying delays
• anti-periodic solutions
• exponential stability
• time scales
• stability
• asymptotic stability

Acknowledgements

This work is supported by the National Natural Sciences Foundation of People's Republic of China and the Natural Sciences Foundation of Yunnan Province