4.7 Article

Existence and Uniform Stability Analysis of Fractional-Order Complex-Valued Neural Networks With Time Delays

Journal

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2014.2311099

Keywords

Banach contraction fixed point theorem; complex-valued neural networks; fractional order; time delays

Funding

  1. NBHM [2/48(7)/2012/NBHM(R.P.)/R, D-II/12669]
  2. National Natural Science Foundation of China [61272530, 11072059]
  3. Natural Science Foundation of Jiangsu Province of China [BK2012741]

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This paper deals with the problem of existence and uniform stability analysis of fractional-order complex-valued neural networks with constant time delays. Complex-valued recurrent neural networks is an extension of real-valued recurrent neural networks that includes complex-valued states, connection weights, or activation functions. This paper explains sufficient condition for the existence and uniform stability analysis of such networks. Three numerical simulations are delineated to substantiate the effectiveness of the theoretical results.

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