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  4. Synchronization of time-varying time delayed neutral-type neural networks for finite-time in complex field

Synchronization of time-varying time delayed neutral-type neural networks for finite-time in complex field

MMC.
2021;
Volume 8, Number 3
: pp. 486–498
https://doi.org/10.23939/mmc2021.03.486
Received: May 22, 2021
Revised: July 06, 2021
Accepted: July 08, 2021

Mathematical Modeling and Computing, Vol. 8, No. 3, pp. 486–498 (2021)

Authors:
  1. N. Jayanthi
  2. R. Santhakumari
1
Government Arts College, Coimbatore, India
2
Government Arts College, Coimbatore, India; Sri Ramakrishna College of Arts and Science, Coimbatore, India

This paper deals with the problem of finite-time projective synchronization for a class of neutral-type complex-valued neural networks (CVNNs) with time-varying delays.  A simple state feedback control protocol is developed such that slave CVNNs  can be projective synchronized with the master system in finite time.  By employing inequalities technique and designing new Lyapunov--Krasovskii functionals, various novel and easily verifiable conditions are obtained to ensure the finite-time projective synchronization.  It is found that the settling time can be explicitly calculated for the neutral-type CVNNs.  Finally, two numerical simulation results are demonstrated to validate the theoretical results of this paper.

neutral-type neural network
neutral delay
synchronization
complex field
time-varying time delays
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