کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627607 1631812 2014 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Almost automorphic solution for neutral type high-order Hopfield neural networks with delays in leakage terms on time scales
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Almost automorphic solution for neutral type high-order Hopfield neural networks with delays in leakage terms on time scales
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 242, 1 September 2014, Pages 679–693
نویسندگان
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