Equilibrium and stability analysis of delayed neural networks under parameter uncertainties

Equilibrium and stability analysis of delayed neural networks under parameter uncertainties

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Article ID: iaor20121880
Volume: 218
Issue: 12
Start Page Number: 6716
End Page Number: 6726
Publication Date: Feb 2012
Journal: Applied Mathematics and Computation
Authors: ,
Keywords: neural networks, optimization
Abstract:

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.

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