DocumentCode
794553
Title
Global robust stability analysis of neural networks with multiple time delays
Author
Ozcan, Neyir ; Arik, Sabri
Author_Institution
Dept. of Electr. & Electron. Eng., Istanbul Univ., Turkey
Volume
53
Issue
1
fYear
2006
Firstpage
166
Lastpage
176
Abstract
Global robust convergence properties of continuous-time neural networks with discrete delays are studied. By employing suitable Lyapunov functionals, we derive a set of delay-independent sufficient conditions for the existence, uniqueness, and global robust asymptotic stability of the equilibrium point. The conditions can be easily verified as they can be expressed in terms of the network parameters only. Some numerical examples are given to compare our results with previous robust stability results derived in the literature. One of our main results is shown to improve and generalize a previously published result. Other results proved to establish a new set of robust stability criteria for delayed neural networks.
Keywords
Lyapunov methods; circuit stability; continuous time systems; delays; network analysis; neural nets; Lyapunov functionals; continuous-time neural networks; delayed neural networks; discrete delays; equilibrium analysis; global robust stability analysis; multiple time delays; Associative memory; Asymptotic stability; Convergence; Delay effects; Design optimization; Neural networks; Neurons; Robust stability; Signal design; Signal processing; Delayed neural networks; Lyapunov functionals; equilibrium and stability analysis;
fLanguage
English
Journal_Title
Circuits and Systems I: Regular Papers, IEEE Transactions on
Publisher
ieee
ISSN
1549-8328
Type
jour
DOI
10.1109/TCSI.2005.855724
Filename
1576896
Link To Document