时滞神经网络周期解存在性及全局指数稳定性

journal6 ›› 2006, Vol. 27 ›› Issue (1): 32-38.

时滞神经网络周期解存在性及全局指数稳定性

(吉首大学数学与计算机科学学院，湖南吉首 416000)

出版日期:2006-01-25 发布日期:2012-09-16

Existence and Globally Exponential Stability of Periodic Solutions for Neural Networks with Delays

(College of Mathematics and Computer Science,Jishou University，Jishou 416000,Hunan China)

Online:2006-01-25 Published:2012-09-16
About author:JIANG Li-qun(1976-),female,was born in Yongzhou City,Hunan Province,lecturer of College of Mathematics and Computer Science,Jishou University;research area is discrete dynamic system.
Supported by:
The Scientific Research Plan Item of Hunan Provincial Department of Education (04C491)

摘要/Abstract

摘要：运用重合度理论、M-矩阵理论及李雅普诺夫方法，获得了带时滞神经网络周期解存在性和全局指数稳定性的充分条件.

关键词： 神经网络, 周期解, 全局指数稳定, M-矩阵

Abstract: The sufficient conditions ensuring existence and globally exponential stability of periodic solutions for neural networks with delays are obtained by using coincide degree,M-matrix theory and Liapunov function method.

Key words: neural network, periodic solutions, globally exponential stability, M-matrix

蒋利群. 时滞神经网络周期解存在性及全局指数稳定性[J]. journal6, 2006, 27(1): 32-38.

JIANG Li-Qun. Existence and Globally Exponential Stability of Periodic Solutions for Neural Networks with Delays[J]. journal6, 2006, 27(1): 32-38.

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