摘要
In this paper,the global exponential stability of fuzzy cellular neural networks with impulses and infinite delays is investigated.Based on an impulsive delayed integro-differentiai inequality and the properties of fuzzy logic operation and M-matrix,an easily verified sufficient condition is obtained.Moreover,the exponential convergent rate for the fuzzy cellular neural networks with impulses and infinite delays is also given.An example is given to illustrate the effectiveness of our theoretical result.
In this paper, the global exponential stability of fuzzy cellular neural networks with impulses and infinite delays is investigated. Based on an impulsive delayed integro-differential inequality and the properties of fuzzy logic operation and M-matrix, an easily verified sufficient condition is obtained. Moreover, the exponential convergent rate for the fuzzy cellular neural networks with impulses and infinite delays is also given. An example is given to illustrate the effectiveness of our theoretical result.
基金
The authors are grateful to the referees for their helpful suggestions. the National Natural Science Foundation of China (No. 10671133)
the Doctors' Foundation of Chongqing University of Posts and Telecommunication (No. A2007-41).
关键词
全局指数稳定性
脉冲
无限时滞
模糊细胞神经网络
global exponential stability
fuzzy cellular neural networks
impulses
infinite delays
integro-differential inequality.