Almost automorphic solution for neutral type high-order Hopfield neural networks with delays in leakage terms on time scales

作者：Li Yongkun^*; Yang Li

来源：Applied Mathematics and Computation, 2014, 242: 679-693.

DOI：10.1016/j.amc.2014.06.052

• Almost automorphic solutions
• High-order Hopfield neural networks
• Exponential stability
• Leakage terms
• Time scales

In this paper, using the existence of the exponential dichotomy of linear dynamic equations on time scales, a fixed point theorem and the theory of calculus on time scales, some sufficient conditions for the existence and global exponential stability of almost automorphic solutions for a class of neutral type high-order Hopfield neural networks (HHNNs) with delays in leakage terms on time scales are obtained. Finally, a numerical example is provided to illustrate the feasibility of our results and our results also show that the continuous-time neural network and its discrete-time analogue have the same dynamical behaviors. The results of this paper are completely new even when the time scale T = R or Z and show that the delays in the leakage term do harm to the existence and global exponential stability of almost automorphic solutions.

• 出版日期2014-9-1
• 单位云南大学