DocumentCode :
843687
Title :
New Sufficient Conditions for Global Robust Stability of Delayed Neural Networks
Author :
Qi, Houduo
Author_Institution :
Sch. of Math., Southampton Univ.
Volume :
54
Issue :
5
fYear :
2007
fDate :
5/1/2007 12:00:00 AM
Firstpage :
1131
Lastpage :
1141
Abstract :
In this paper, we continue to explore application of nonsmooth analysis to the study of global asymptotic robust stability (GARS) of delayed neural networks. In combination with Lyapunov theory, our approach gives several new types of sufficient conditions ensuring GARS. A significant common aspect of our results is their low computational complexity. It is demonstrated that the reported results can be verified either by conducting spectral decompositions of symmetric matrices associated with the uncertainty sets of network parameters, or by solving a semidefinite programming problem. Nontrivial examples are constructed to compare with some closely related existing results
Keywords :
Lyapunov methods; asymptotic stability; computational complexity; neural nets; Lyapunov function; computational complexity; delayed neural networks; equilibrium point; global asymptotic robust stability; Asymptotic stability; Computational complexity; Helium; Lyapunov method; Neural networks; Neurons; Robust stability; Sufficient conditions; Symmetric matrices; Uncertainty; Delayed neural networks; Lyapunov function; equilibrium point; global asymptotic robust stability (GARS); nonsingularity;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
Publisher :
ieee
ISSN :
1549-8328
Type :
jour
DOI :
10.1109/TCSI.2007.895524
Filename :
4195647
Link To Document :
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