Almost periodic solutions for neutral delay Hopfield neural networks with time-varying delays in the leakage term on time scales

作者：Li Ling; Li Yongkun^*; Yang Li

来源：Advances in Difference Equations, 2014, 2014(1): 178.

DOI：10.1186/1687-1847-2014-178

• almost periodic solutions
• Hopfield neural networks
• neutral delay
• leakage term
• time scales

In this paper, a class of neutral delay Hopfield neural networks with time-varying delays in the leakage term on time scales is considered. By utilizing the exponential dichotomy of linear dynamic equations on time scales, Banach's fixed point theorem and the theory of calculus on time scales, some sufficient conditions are obtained for the existence and exponential stability of almost periodic solutions for this class of neural networks. Finally, a numerical example illustrates the feasibility of our results and also shows that the continuous-time neural network and the discrete-time analogue have the same dynamical behaviors. The results of this paper are completely new and complementary to the previously known results even when the time scale T = R or Z.

• 出版日期2014-7-22
• 单位云南大学