کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627607 | 1631812 | 2014 | 15 صفحه PDF | دانلود رایگان |
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=RT=R or ZZ and show that the delays in the leakage term do harm to the existence and global exponential stability of almost automorphic solutions.
Journal: Applied Mathematics and Computation - Volume 242, 1 September 2014, Pages 679–693