Existence and exponential stability of almost periodic solutions for neutral‐type BAM neural networks with distributed leakage delays |
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| Authors: | Changjin Xu Peiluan Li Yicheng Pang |
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| Institution: | 1. Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China;2. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China;3. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, China |
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| Abstract: | This paper is concerned with a class of neutral‐type BAM neural networks with distributed leakage delays. By applying the exponential dichotomy of linear differential equations, Lyapunov functional method and contraction mapping principle, we establish some sufficient conditions which ensure the existence and exponential stability of almost periodic solutions for such BAM neural networks. An example is given to illustrate the effectiveness of the theoretical findings. The results obtained in this article are completely new and complement the previously known studies. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | BAM neural networks almost periodic solution exponential stability exponential dichotomy distributed leakage delay |
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