Symmetry (Nov 2021)

Periodicity on Neutral-Type Inertial Neural Networks Incorporating Multiple Delays

  • Jian Zhang,
  • Ancheng Chang,
  • Gang Yang

DOI
https://doi.org/10.3390/sym13112231
Journal volume & issue
Vol. 13, no. 11
p. 2231

Abstract

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The classical Hopefield neural networks have obvious symmetry, thus the study related to its dynamic behaviors has been widely concerned. This research article is involved with the neutral-type inertial neural networks incorporating multiple delays. By making an appropriate Lyapunov functional, one novel sufficient stability criterion for the existence and global exponential stability of T-periodic solutions on the proposed system is obtained. In addition, an instructive numerical example is arranged to support the present approach. The obtained results broaden the application range of neutral-types inertial neural networks.

Keywords