Saturated and asymmetric saturated impulsive control synchronization of coupled delayed inertial neural networks with time-varying delays

K. Udhayakumar, S. Shanmugasundaram, Ardak Kashkynbayev, K. Janani, R. Rakkiyappan

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

This paper considers control systems with impulses that are saturated and asymmetrically saturated which are used to examine the synchronization of inertial neural networks (INNs) with time-varying delay and coupling delays. Under the theoretical discussions, mixed delays, such as transmission delay and coupling delay are presented for inertial neural networks. The addressed INNs are transformed into first order differential equations utilizing variable transformation on INNs and then certain adequate conditions are derived for the exponential synchronization of the addressed model by substituting saturation nonlinearity with a dead-zone function. In addition, an asymmetric saturated impulsive control approach is given to realize the exponential synchronization of addressed INNs in the leader-following synchronization pattern. Finally, simulation results are used to validate the theoretical research findings.

Original languageEnglish
Pages (from-to)528-544
Number of pages17
JournalApplied Mathematical Modelling
Volume113
DOIs
Publication statusPublished - Jan 2023

Keywords

  • Coupling delay
  • Impulsive control
  • Inertial neural networks
  • Saturation
  • Synchronization
  • Time-varying delay

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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