DocumentCode
863862
Title
Global stability analysis for delayed neural networks via an interval matrix approach
Author
Li, C. ; Liao, X. ; Huang, T.
Author_Institution
Sch. of Comput., Hangzhou Dianzi Univ.
Volume
1
Issue
3
fYear
2007
fDate
5/1/2007 12:00:00 AM
Firstpage
743
Lastpage
748
Abstract
Global asymptotic stability for a general class of neural networks with delays is reduced to that for interval linear delayed differential equations under the assumption of Lipschitz continuity. By employing Lyapunov-Krasovskii theory, the problem is further reduced to that of Hurwitz stability of interval matrices. Based on the later theory, several new sets of stability criteria for neural networks with constant delays are derived. This demonstration and comparison with recent results show that the present results are new stability criteria for the investigated neural network model
Keywords
asymptotic stability; delay-differential systems; delays; linear differential equations; neural nets; stability criteria; Hurwitz stability; Lipschitz continuity; Lyapunov-Krasovskii theory; constant delays; delayed neural networks; global asymptotic stability; global stability analysis; interval linear delayed differential equations; interval matrices; interval matrix approach; stability criteria;
fLanguage
English
Journal_Title
Control Theory & Applications, IET
Publisher
iet
ISSN
1751-8644
Type
jour
Filename
4205011
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