AIMS Mathematics (Jul 2022)

New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effects

  • Yinjie Qian,
  • Lian Duan,
  • Hui Wei

DOI
https://doi.org/10.3934/math.2022931
Journal volume & issue
Vol. 7, no. 9
pp. 16962 – 16974

Abstract

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In this paper, we further investigate the finite-/fixed-time synchronization (FFTS) problem for a class of delayed memristive reaction-diffusion neural networks (MRDNNs). By utilizing the state-feedback control techniques, and constructing a general Lyapunov functional, with the help of inequality techniques and the finite-time stability theory, novel criteria are established to realize the FFTS of the considered delayed MRDNNs, which generalize and complement previously known results. Finally, a numerical example is provided to support the obtained theoretical results.

Keywords