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

Weisong Zhou; Kaihe Wang; Wei Zhu; Weisong Zhou; Kaihe Wang; Wei Zhu

doi:10.3934/mmc.2024003

Mathematical Modelling and Control

2024, Volume 4, Issue 1: 17-31. doi: 10.3934/mmc.2024003

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Research article

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

1.
College of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2.
Key Laboratory of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received: 18 June 2023 Revised: 04 December 2023 Accepted: 15 December 2023 Published: 15 March 2024

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.
- uncertain exchanging information,
- neural networks,
- fuzzy,
- impulsive,
- synchronization
Citation: Weisong Zhou, Kaihe Wang, Wei Zhu. Synchronization for discrete coupled fuzzy neural networks with uncertain information via observer-based impulsive control[J]. Mathematical Modelling and Control, 2024, 4(1): 17-31. doi: 10.3934/mmc.2024003

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Abstract

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.

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