DocumentCode
1548885
Title
Global stability conditions for delayed CNNs
Author
Cao, Jinde
Author_Institution
Dept. of Appl. Math., Southeast Univ., Nanjing, China
Volume
48
Issue
11
fYear
2001
fDate
11/1/2001 12:00:00 AM
Firstpage
1330
Lastpage
1333
Abstract
Based on the Lyapunov stability theorem as well as some facts about the positive definiteness and inequality of matrices, a new sufficient condition is presented for the existence of a unique equilibrium point and its global asymptotic stability for delayed CNNs. This condition imposes constraints on the feedback matrices independent of the delay parameter. This condition is less restrictive than that given in earlier references
Keywords
Lyapunov methods; asymptotic stability; cellular neural nets; feedback; matrix algebra; DCNNs; Lyapunov stability theorem; cellular neural networks; delay parameter; delayed CNNs; feedback matrices; global asymptotic stability; global stability conditions; matrix inequality; positive definiteness; sufficient condition; unique equilibrium point; Asymptotic stability; Cellular neural networks; Delay effects; Linear matrix inequalities; Lyapunov method; Neural networks; Neurofeedback; Output feedback; State feedback; Sufficient conditions;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.964422
Filename
964422
Link To Document