Title
Stability in impulsive Cohen-Grossberg-type BAM neural networks with distributed delays
Abstract
In this paper, a class of impulsive Cohen-Grossberg-type bi-directional associative memory (BAM) neural networks with distributed delays is investigated. By establishing an integro-differential inequality with impulsive initial conditions and employing the homeomorphism theory, the M-matrix theory and inequality technique, some new general sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for impulsive Cohen-Grossberg-type BAM neural networks with distributed delays are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on the system parameters and impulsive disturbed intension. An example is given to show the effectiveness of the results obtained here.
Year
DOI
Venue
2010
10.1016/j.amc.2009.12.001
Applied Mathematics and Computation
Keywords
Field
DocType
cohen–grossberg neural networks,global exponential stability,impulses,bi-directional associative memory,distributed delays,cohen-grossberg neural networks,equilibrium point,associative memory,matrix theory,initial condition
Uniqueness,Mathematical optimization,Content-addressable memory,Control theory,Equilibrium point,Exponential stability,Initial value problem,Rate of convergence,Artificial neural network,Mathematics,Numerical stability
Journal
Volume
Issue
ISSN
215
11
Applied Mathematics and Computation
Citations 
PageRank 
References 
11
0.63
19
Authors
4
Name
Order
Citations
PageRank
Kelin Li110510.54
Liping Zhang2121.00
Xinhua Zhang3110.63
Zuoan Li4121.32