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带有变化分布时滞的复值神经网络Lagrange稳定性

张磊 宋乾坤

应用数学和力学2017,Vol.38Issue(10):1180-1186,7.
应用数学和力学2017,Vol.38Issue(10):1180-1186,7.DOI:10.21656/1000-0887.370378

带有变化分布时滞的复值神经网络Lagrange稳定性

Lagrangian Stability of Complex-Valued Neural Networks With Distributed Time-Varying Delays

张磊 1宋乾坤2

作者信息

  • 1. 四川工程职业技术学院 基础教学部,四川 德阳618000
  • 2. 重庆交通大学 数学系,重庆400074
  • 折叠

摘要

Abstract

The Lagrangian stability of complex-valued neural networks with distributed time-va-rying delays was investigated. By means of the Lyapunov-Krasovskii functional and the matrix inequality techniques, a delay-dependent sufficient condition was obtained to ensure the global exponential stability in a Lagrangian sense for the considered neural networks. The condition is expressed in the form of complex-valued linear matrix inequality, which can be checked numer-ically with the effective YALMIP toolbox in MATLAB.

关键词

复值神经网络/变化分布时滞/Lagrange稳定性/复值线性矩阵不等式

Key words

complex-valued neural network/distributed time-varying delay/Lagrangian stabili-ty/complex-valued linear matrix inequality

分类

数理科学

引用本文复制引用

张磊,宋乾坤..带有变化分布时滞的复值神经网络Lagrange稳定性[J].应用数学和力学,2017,38(10):1180-1186,7.

基金项目

国家自然科学基金(61773004) (61773004)

重庆高校创新团队建设计划(CXTDX201601022) The National Natural Science Foundation of China(61773004) (CXTDX201601022)

应用数学和力学

OA北大核心CSCDCSTPCD

1000-0887

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