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Equilibrium and stability analysis of delayed neural networks under parameter uncertainties

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
218
Issue
12
Identifiers
DOI: 10.1016/j.amc.2011.12.036
Keywords
  • Stability Analysis
  • Delayed Neural Networks
  • Interval Matrices
  • Lyapunov Functionals
Disciplines
  • Computer Science
  • Mathematics

Abstract

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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