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On global asymptotic stability for a class of delayed neural networks
Author(s) -
Lam James,
Xu Shengyuan,
Ho Daniel W. C.,
Zou Yun
Publication year - 2012
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.777
Subject(s) - uniqueness , artificial neural network , equilibrium point , exponential stability , nonlinear system , simple (philosophy) , class (philosophy) , mathematics , stability (learning theory) , control theory (sociology) , lyapunov function , matrix (chemical analysis) , differential equation , computer science , mathematical analysis , control (management) , artificial intelligence , physics , quantum mechanics , machine learning , philosophy , materials science , epistemology , composite material
SUMMARY This paper deals with the problem of stability analysis for a class of delayed neural networks described by nonlinear delay differential equations of the neutral type. A new and simple sufficient condition guaranteeing the existence, uniqueness and global asymptotic stability of an equilibrium point of such a kind of delayed neural networks is developed by the Lyapunov–Krasovskii method. The condition is expressed in terms of a linear matrix inequality, and thus can be checked easily by recently developed standard algorithms. When the stability condition is applied to the more commonly encountered delayed neural networks, it is shown that our result can be less conservative. Examples are provided to demonstrate the effectiveness of the proposed criteria. Copyright © 2011 John Wiley & Sons, Ltd.