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一类具脉冲的非自治高阶BAM神经网络周期解的全局指数稳定性
引用本文:贾秀玲,王继禹,李耀堂. 一类具脉冲的非自治高阶BAM神经网络周期解的全局指数稳定性[J]. 江西师范大学学报(自然科学版), 2017, 0(2): 215-220
作者姓名:贾秀玲  王继禹  李耀堂
作者单位:1.郑州工商学院公共基础部,河南 郑州 451400; 2.云南大学数学与统计学院,云南 昆明 650091
摘    要:
通过构造Lyapuonv函数,利用M-矩阵理论以及Yang不等式技巧,研究了一类含脉冲的非自治高阶BAM(bi-directional associative memory)神经网络周期解的全局指数稳定性,且推广了相关文献中的结果.

关 键 词:高阶BAM神经网络  周期解  M-矩阵 M-矩阵  脉冲  指数稳定性

The Analysis on Global Exponential Stability of Periodic Solutions for a Class of Non-Autonomous Higher-Order BAM Neural Networks with Impulse
JIA Xiuling,WANG Jiyu,LI Yaotang. The Analysis on Global Exponential Stability of Periodic Solutions for a Class of Non-Autonomous Higher-Order BAM Neural Networks with Impulse[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2017, 0(2): 215-220
Authors:JIA Xiuling  WANG Jiyu  LI Yaotang
Affiliation:1.Department of Public Basic Education,Zhengzhou Technology and Business University,Zhengzhou Henan 451400,China; 2.School of Mathematics and Statistics,Yunnan University,Kunming Yunnan 650091,China
Abstract:
By constructing a new Lyapunov functional,employing the M-matrix theory and some inequality techniques,the global exponential stability of periodic solutions for non-autonomous higher-order BAM neural networks with impulse is considered,and it has greatly improve the previous results in the literature.
Keywords:higher-order BAM neural networks  periodic solutions  M-matrix M-matrix  impulse  exponential stability
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