4.7 Article

Asymptotic stability of delayed fractional-order fuzzy neural networks with impulse effects

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2018.07.039

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Funding

  1. National Natural Science Foundation of China [61873213, 61633011]
  2. Chongqing Postgraduate Research and Innovation project [CYS17088]
  3. Chongqing Research Program of Basic Research and Frontier Technology [cstc2015jcyjBX0052]

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In this paper, we investigate the asymptotic stability of fractional-order fuzzy neural networks with fixed-time impulse and time delay. According to the fractional Barbalat's lemma, Riemann-Liouville operator and Lyapunov stability theorem, some sufficient conditions are obtained to ensure the asymptotic totic stability of the fractional-order fuzzy neural networks. Two numerical examples are also given to illustrate the feasibility and effectiveness of the obtained results. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

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