4.7 Article

Equilibrium and stability analysis of delayed neural networks under parameter uncertainties

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 218, Issue 12, Pages 6716-6726

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.12.036

Keywords

Stability analysis; Delayed neural networks; Interval matrices; Lyapunov functionals

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This paper proposes new results for the existence, uniqueness and global asymptotic stability of the equilibrium point for neural networks with multiple time delays under parameter uncertainties. By using Lyapunov stability theorem and applying homeomorphism mapping theorem, new delay-independent stability criteria are obtained. The obtained results are in terms of network parameters of the neural system only and therefore they can be easily checked. We also present some illustrative numerical examples to demonstrate that our result are new and improve corresponding results derived in the previous literature. (C) 2011 Elsevier Inc. All rights reserved.

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