DocumentCode
825229
Title
Global Asymptotic Stability and Robust Stability of a Class of Cohen–Grossberg Neural Networks With Mixed Delays
Author
Zhang, Huaguang ; Wang, Zhanshan ; Liu, Derong
Author_Institution
Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang
Volume
56
Issue
3
fYear
2009
fDate
3/1/2009 12:00:00 AM
Firstpage
616
Lastpage
629
Abstract
This paper is concerned with the global asymptotic stability of a class of Cohen-Grossberg neural networks with both multiple time-varying delays and continuously distributed delays. Two classes of amplification functions are considered, and some sufficient stability criteria are established to ensure the global asymptotic stability of the concerned neural networks, which can be expressed in the form of linear matrix inequality and are easy to check. Furthermore, some sufficient conditions guaranteeing the global robust stability are also established in the case of parameter uncertainties.
Keywords
amplification; asymptotic stability; delays; linear matrix inequalities; neural nets; time-varying systems; Cohen-Grossberg neural networks; continuously distributed delays; global asymptotic stability; linear matrix inequality; mixed delays; multiple time-varying delays; robust stability; Cohen–Grossberg neural networks; distributed delays; global asymptotic stability; linear matrix inequality (LMI); multiple time-varying delays; nonnegative equilibrium points; robust stability;
fLanguage
English
Journal_Title
Circuits and Systems I: Regular Papers, IEEE Transactions on
Publisher
ieee
ISSN
1549-8328
Type
jour
DOI
10.1109/TCSI.2008.2002556
Filename
4588355
Link To Document