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Stability Analysis of Cohen-Grossberg Neural Networks With Unbounded Delays

Authors:
Xuyang Lou
Baotong Cui
Qian Ye

Keywords: Cohen-Grossberg neural networks; asymptotic stability; distributed delay

Abstract:
The asymptotic stability problem of Cohen-Grossberg neural networks with distributed delays is investigated in this paper. One new uniqueness theorem for the existence of the unique equilibrium of the class of neural networks is presented. Based on the new result, using the Lyapunov stability theory and linear matrix inequality (LMI) technique, and combining Cauchy's inequality, some new conditions for the asymptotic stability of Cohen-Grossberg neural networks with distributed delays are presented. In our results, we do not assume the signal propagation functions to be bounded, differentiable, strictly increasing, and even to satisfy the Lipschitz condition. Moreover, the symmetry of the connection matrix is not also necessary. Thus, we improve some previous works of other researchers. Some examples are also worked out to validate the advantages of our results.

Pages: 277 to 281

Copyright: Copyright (c) IARIA, 2012

Publication date: June 24, 2012

Published in: conference

ISSN: 2308-4529

ISBN: 978-1-61208-202-8

Location: Venice, Italy

Dates: from June 24, 2012 to June 29, 2012