New Criteria for Robust Stability of Cohen-Grossberg Neural Networks with Multiple Delays

JI Ce; ZHANG Hua-guang; GUAN Huan-xin

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New Criteria for Robust Stability of Cohen-Grossberg Neural Networks with Multiple Delays

更新时间：2025-07-16

- New Criteria for Robust Stability of Cohen-Grossberg Neural Networks with Multiple Delays
- Acta Electronica Sinica Vol. 35, Issue 1, Pages: 135-140(2007)
- 作者机构：
  
  东北大学信息科学与工程学院,辽宁,沈阳,110004
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP183
- Published：2007
- 稿件说明：
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JI Ce, ZHANG Hua-guang, GUAN Huan-xin. New Criteria for Robust Stability of Cohen-Grossberg Neural Networks with Multiple Delays[J]. Acta Electronica Sinica, 2007, 35(1): 135-140.
DOI：

JI Ce, ZHANG Hua-guang, GUAN Huan-xin. New Criteria for Robust Stability of Cohen-Grossberg Neural Networks with Multiple Delays[J]. Acta Electronica Sinica, 2007, 35(1): 135-140. DOI：

摘要

分析了一类具有多时滞及参数摄动的Cohen-Grossberg神经网络的全局鲁棒稳定性.通过构造适当的Lyapunov泛函

以线性矩阵不等式形式给出了平衡点全局鲁棒稳定的判据.此外

所有结论的建立都不需要假定互连矩阵的对称性及激活函数的可微性和单调性.仿真结果进一步证明了结论的有效性.

Abstract

Global robust stability of a class of Cohen-Grossberg neural networks with multiple delays and parameter perturbations is analyzed.By way of constructing a suitable Lyapunov functional

the criteria expressed by the form of linear matrix inequality (LMI) are given for the global robust stability of equilibrium point.In addition

all results are established without assuming any symmetry of the interconnecting matrix

and the differentiability and monotonicity of activation functions.The simulation samples have proved the effectiveness of the conclusion.

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Related Author

JI Ce

WANG Zhan-shan

ZHANG Hua-guang

YU Wen

ZHANG Qing-Ling

SHEN Yi

ZHANG Yu-min

LIAO Xiao-xin

Related Institution

School of Information Science and Engineering, Northeastern University

Departamento de Control Automatico,CINVESTAV-IPN

Institute of Systems Science,Northeastern University

School of Information Science and EngineeringNortheastern UniversityShenyangLiaoning 110004China

Departamento de Control AutomaticoCINVESTAV-IPNMexico

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