一类时滞BAM神经网络的全局渐近同步
Global Asymptotic Synchronization for a Class of BAM Neural Networks with Time Delays
DOI: 10.12677/AAM.2020.911240, PDF,   
作者: 李伟健:广东技术师范大学,数学与系统科学学院,广东 广州
关键词: BAM神经网络时滞全局渐近同步Lyapunov泛函BAM Neural Network Time Delays Global Asymptotic Synchronization Lyapunov Functionals
摘要: 本文考虑一类时滞BAM神经网络系统的全局渐近同步问题。利用Lyapunov泛函和分析方法,给出了两个能够保证所考虑系统的全局渐近同步的充分判据,所得结果一定程度上比本文的主要参考文献有较为广泛的适应性。
Abstract: In this paper, the global asymptotic synchronization of a class of BAM neural networks with time delays is considered. By using the Lyapunov functionals and analytical methods, two sufficient criteria are given to ensure the global asymptotic synchronization of our system. To some extent, the present results are more feasible than the main reference in this paper.
文章引用:李伟健. 一类时滞BAM神经网络的全局渐近同步[J]. 应用数学进展, 2020, 9(11): 2075-2081. https://doi.org/10.12677/AAM.2020.911240

参考文献

[1] 王晓梅. 神经网络导论[M]. 北京: 科学出版社, 2017: 1-166.
[2] Kosko, B. (1987) Adaptive Bidirectional Associative Memories. Applied Optics, 26, 4947-4960. [Google Scholar] [CrossRef
[3] Kosko, B. (1988) Bidirectional Associative Memories. IEEE Transactions on Systems, Man and Cybernetics, 18, 49-60. [Google Scholar] [CrossRef
[4] Gu, H., Jiang, H. and Teng, Z. (2009) BAM-Type Impulsive Neural Networks with Time-Varying Delays. Nonlinear Analysis: Real World Applications, 10, 3059-3072. [Google Scholar] [CrossRef
[5] Tan, Z. and Ali, M.K. (2001) Associative Memory Using Synchronization in a Chaotic Neural Network. International Journal of Modern Physics C, 12, 19-29. [Google Scholar] [CrossRef
[6] Carpenter, G.A. (1989) Neural Network Models for Pattern Recognition and Associative Memory. Neural Networks, 2, 243-257. [Google Scholar] [CrossRef
[7] Li, C., Liao, X. and Zhang, R. (2005) Delay-Dependent Exponential Stability Analysis of Bi-Directional Associative Memory Neural Networks with Time Delay: An LMI Approach. Chaos, Solitons & Fractals, 24, 1119-1134. [Google Scholar] [CrossRef
[8] Zeng, Z., Huang, D.S. and Wang, Z. (2008) Pattern Memory Analysis Based on Stability Theory of Cellular Neural Networks. Applied Mathematical Modelling, 32, 112-121. [Google Scholar] [CrossRef
[9] Rao, V.S.H. and Rao, P.R.S. (2018) Time Varying Stimulations in Simple Neural Networks and Convergence to Desired Outputs. Differential Equations and Dynamical Systems, 26, 81-104. [Google Scholar] [CrossRef
[10] Alimi, A.M., Aouiti, C. and Assali, E.A. (2019) Finite-Time and Fixed-Time Synchronization of a Class of Inertial Neural Networks with Multi-Proportional Delays and Its Application to Secure Communication. Neurocomputing, 332, 29-43. [Google Scholar] [CrossRef
[11] Guo, Z., Yang, S. and Wang (2014) Global Exponential Synchronization of Multiple Memristive Neural Networks with Time Delay via Nonlinear Coupling. IEEE Transactions on Neural Networks and Learning Systems, 26, 1300-1311. [Google Scholar] [CrossRef
[12] Prakash, M., Balasubramaniam, P. and Lakshmanan, S. (2016) Synchronization of Markovian Jumping Inertial Neural Networks and Its Applications in Image Encryption. Neural Networks, 83, 86-93. [Google Scholar] [CrossRef] [PubMed]
[13] Mathiyalagan, K., Park, J.H. and Sakthivel, R. (2015) Synchronization for Delayed Memristive BAM Neural Networks Using Impulsive Control with Random Nonlinearities. Applied Mathematics and Computation, 259, 967-979. [Google Scholar] [CrossRef
[14] Lin, F. and Zhang, Z. (2020) Global Asymptotic Synchronization of a Class of BAM Neural Networks with Time Delays via Integrating Inequality Techniques. Journal of Systems Science and Complexity, 33, 366-382. [Google Scholar] [CrossRef
[15] Li, Y. and Li, C. (2016) Matrix Measure Strategies for Stabilization and Synchronization of Delayed BAM Neural Networks. Nonlinear Dynamics, 84, 1759-1770. [Google Scholar] [CrossRef