Paper Info
Title
Delay Independent And Dependent Stability Analysis For Cohen-Grossberg Neural Networks With Time-Varying Delays
Abstract
For Cohen-Grossberg neural networks with time-varying delays, by fixed point and contract mapping theorems, a sufficient condition ensuring the existence and uniqueness of an equilibrium is proposed. To guarantee the delay independent global stability of the equilibrium, two sufficient conditions are proposed by means of a time delay differential inequality and contradiction tricks, respectively. By virtue of a special Lyapunov functional as well as properties of M-matrices, a sufficient condition undertaking the delay dependent global stability of the equilibrium is introduced. Compared with known literatures, the presented results place slack restrictions on the activation functions, and are suitable for the networks with time-varying delays. Furthermore, most of the obtained results are independent of the amplification functions, making their applicability more far-reaching. Finally, two examples are numerically simulated to illustrate the validity as well as novelty of the criteria.
Year
DOI
Venue
2009
10.1142/S0218127409024724
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Cohen-Grossberg neural networks (CGNNs), fixed-point theorem, existence and uniqueness, stability
Journal
19
Issue
ISSN
Citations 
9
0218-1274
0
PageRank 
References 
Authors
0.34
10
3
Name
Order
Citations
PageRank
Yiguang Liu133837.15
Zhisheng You241752.22
Bingbing Liu318724.52