欢迎来到OAJRC平台！

期刊栏目

投稿

审稿

期刊目次

加入编委

期刊订阅

添加您的邮件地址以接收即将发行期刊数据：

当前位置：国际应用数学进展 > 2021年 3卷 (1)期

Open Access Article

Advances in International Applied Mathematics. 2021; 3: (1) ; 5-13 ; DOI: 10.12208/j.aam.20210002.

Asymptotic Behaviors for a Class of BAM Neural Networks with Leakage Delays
一类具有泄漏时滞的BAM神经网络间的渐近接近

作者： 郭佳佳 *, 朱志强

广东技术师范大学数学与系统科学学院广东广州

*通讯作者：郭佳佳,单位：广东技术师范大学数学与系统科学学院广东广州；

国家自然科学基金

发布时间: 2021-02-03 总浏览量: 2271

PDF 全文下载引用本文收录截图（CNKI-Scholar）

摘要

本文研究一类具有泄漏时滞的双向联想记忆（BAM）神经网络的渐近接近问题。首先，通过适当的等价转换，将神经网络系统转换为中立型时滞系统。然后，利用合适的Lyapunov泛函和不等式方法，得到了时变输入系统的任意解之间渐近接近、以及此系统的解渐近接近其相应的常输入系统平衡解的判别准则。本文所得结论在一定程度上推广了Gopalsamy在Journal of Mathematical analysis and Applications [325(2007):1117-1132]上的研究工作。

关键词： BAM神经网络；泄漏时滞；Lyapunov泛函；渐近接近

Abstract

This paper is concerned with the asymptotic approximation of a class of bidirectional associative memory (BAM) neural networks with leakage delays. First, the systems are written as neutral delayed systems by a proper transformation. Then, by using appropriate Lyapunov functionals and an inequality method, a couple of criteria are obtained, which can guarantee the interior asymptotic behaviors of our BAM neural network with time-varying inputs, and the asymptotic behaviors between the BAM neural network and its corresponding one with constant inputs. The present results we obtained generalize to some extent the works published in the Journal of Mathematical analysis and Applications [(325) 2007: 1117--1132].

Key words： BAM Neural Network; Leakage Delay; Lyapunov Function; Asymptotic Approximation

参考文献 References

[1] Kosko B. Adaptive bidirectional associative memories[J].Applied optics,1987 26 (23) : 4947-4960.

[2] Chaouki Aouiti, El Abed Assali. Stability Analysis for a Class of Impulsive Bidirectional Associative Memory (BAM) Neural Networks with Distributed Delays and Leakage Time-Varying Delays[J].Neural Processing Letters,2019 50 (1) : 851-885.

[3] 王晓梅. 神经网络导论[M].北京:科学出版社,2017 .

[4] Ali M S, Saravanan S, Rani M E, et al. Asymptotic stability of Cohen–Grossberg BAM neutral type neural networks with distributed time varying delays[J].Neural Processing Letters,2017 46 (3) : 991-1007.

[5] Gopalsamy K. Leakage delays in BAM[J].Journal of Mathematical Analysis and Applications,2007 325 (2) : 1117-1132.

[6] ZHANG Hai, YE Renyu, CAO Jinde, Ahmed Alsaedi, Amr Elsonbaty. Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses[J].Complexity,2017 Art ID 6875874,13 .

[7] Rao V S H, Rao P R S. Time Varying Stimulations in Simple Neural Networks and Convergence to Desired Outputs[J].Differential Equations and Dynamical Systems,2018 26 (1-3) : 81-104.

[8] 闫欢, 赵振江, 宋乾坤. 具有泄漏时滞的复值神经网络的全局同步性[J].应用数学和力学,2016 37 (08) : 832-841.

[9] LI Li, YANG Yongqing, LIN Guang. The stabilization of BAM neural networks with time-varying delays in the leakage terms via sampled-data control[J].Neural Computing Applications,2015 27 (2) : 447-457.

[10] Maisnam S, Singh R K B. Generalized stability conditions for coupled neural networks with delay feedbacks[J].Heliyon,2019 5 (5) : e01643.

引用本文

郭佳佳, 朱志强, 一类具有泄漏时滞的BAM神经网络间的渐近接近[J]. 国际应用数学进展, 2021; 3: (1) : 5-13.

入驻平台

回到首页

搜索文章: