Mathematical Biosciences and Engineering (Feb 2024)

Synchronization of inertial complex-valued memristor-based neural networks with time-varying delays

  • Pan Wang,
  • Xuechen Li ,
  • Qianqian Zheng

DOI
https://doi.org/10.3934/mbe.2024147
Journal volume & issue
Vol. 21, no. 2
pp. 3319 – 3334

Abstract

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The synchronization of inertial complex-valued memristor-based neural networks (ICVMNNs) with time-varying delays was explored in the paper with the non-separation and non-reduced approach. Sufficient conditions required for the exponential synchronization of the ICVMNNs were identified with the construction of comprehensive Lyapunov functions and the design of a novel control scheme. The adaptive synchronization was also investigated based on the derived results, which is easier to implement in practice. What's more, a numerical example that verifies the obtained results was presented.

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