摘要
研究了带有比例时滞的复值神经网络全局指数稳定性问题.借助向量Lyapunov函数思想和同胚映射原理,并使用M-矩阵理论和不等式技巧,建立了网络平衡点存在性、唯一性和全局指数稳定性的判定条件.
The global exponential stability of complex-valued neural networks with proportional delays was investigated. By means of the vector Lyapunov function theory, the homomorphic mapping theorem, the M-matrix theory and the inequality technique, a delay-independent suffi- cient condition was obtained to ensure the existence, uniqueness and global exponential stabili- ty of the considered neural networks.
作者
张磊
宋乾坤
ZHANG Lei;SONG Qiankun(Department of Basic Teaching, Sichuan Engineering Technical College, Deyang , Sichuan 618000, P.R. China;Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, P.R. China） （ Contributed by SONG Qiankun, M. AMM Editorial Board)
出处
《应用数学和力学》
CSCD
北大核心
2018年第5期584-591,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金(61773004)
重庆高校创新团队建设计划资助项目(CXTDX201601022)~~
关键词
复值神经网络
比例时滞
全局指数稳定性
M-矩阵
complex-valued neural network
proportional delay
global exponential stability
M-matrix
