Existence and stability of almost-periodic solutions for cellular neural networks with time-varying delays in leakage terms on time scales

作者：

Highlights：

• In this paper, we consider cellular neural networks with time-varying delays in leakage terms on time scales.

• We extend the almost-periodic theory on time scales with the delta derivative to that with the nabla derivative.

• We establish sufficient conditions on the existence and uniqueness of almost-periodic solutions.

• We show that the unique almost-periodic solution is globally exponentially stable.

摘要

•In this paper, we consider cellular neural networks with time-varying delays in leakage terms on time scales.•We extend the almost-periodic theory on time scales with the delta derivative to that with the nabla derivative.•We establish sufficient conditions on the existence and uniqueness of almost-periodic solutions.•We show that the unique almost-periodic solution is globally exponentially stable.

论文关键词：Cellular neural networks on time scales,Delays,Almost-periodic solutions,Global exponential stability

论文评审过程：Available online 23 April 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.03.051