Stability analysis of an impulsive Cohen-Grossberg-type BAM neural networks with time-varying delays and diffusion terms

Authors:
Qiming Liu;Rui Xu;Yanke Du
Affiliations:
Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiahzuang, China;Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiahzuang, China;Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiahzuang, China
Venue:
LSMS/ICSEE'10 Proceedings of the 2010 international conference on Life system modeling and simulation and intelligent computing, and 2010 international conference on Intelligent computing for sustainable energy and environment: Part II
Year:
2010

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Abstract

An impulsive Cohen-Grossberg-type BAM neural network with time-varying delays and diffusion terms is investigated. By using suitable Lypunov functional and the properties of M-matrix, sufficient conditions to guarantee the uniqueness and global exponential stability of the equilibrium solution of such networks are established.