Mathematical Modelling and Control (Mar 2024)

Synchronization for discrete coupled fuzzy neural networks with uncertain information via observer-based impulsive control

  • Weisong Zhou,
  • Kaihe Wang ,
  • Wei Zhu

DOI
https://doi.org/10.3934/mmc.2024003
Journal volume & issue
Vol. 4, no. 1
pp. 17 – 31

Abstract

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This paper discussed the synchronization of impulsive fuzzy neural networks (FNNs) with uncertainty of information exchange. Since the data of neural networks (NNs) cannot be completely measured in reality, we designed an observer-based impulsive controller on the basis of the partial measurement results and achieved the purpose of reducing the communication load and the controller load of FNNs. In terms of the Lyapunov stability theory, an impulsive augmented error system (IAES) was established and two sufficient criteria to guarantee the synchronization of our FNNs system were obtained. Finally, we demonstrated the validity of the results by a numerical example.

Keywords