Finite-Time Synchronization of Discontinuous Fractional-Order Multi-Layer Coupled Neural Networks via Aperiodic Intermittent Control
- 1School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, China
Abstract
This paper is mainly concentrated on finite-time synchronization (FTS) for discontinuous fractional-order multi-layer coupled neural networks (FMCNNs) under aperiodic intermittent control. The discontinuous activation function is introduced to capture abrupt transitions and switching phenomena widely observed in practical neural dynamics. However, such nonsmooth behaviors significantly increase the complexity of controller design and synchronization analysis. To cope with these problems, an aperiodic intermittent controller with a simple structure is developed within the Filippov differential inclusion framework, ensuring effective handling of nonsmooth neural dynamics while reducing control cost. More importantly, a piecewise fractional-order differential inequality is established to characterize the evolution of the Lyapunov function over the control and rest intervals under aperiodic switching. This inequality serves as a fundamental analytical tool for deriving sufficient conditions for FTS and estimating the settling time. Compared with the existing results, the proposed framework relaxes the restrictions on the power exponent and provides a more general analytical tool for investigating the FTS of discontinuous FMLCNNs. In the end, a simulation example is provided to show the validity of the proposed method.
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BibTeX
@article{zheng2026finitetime,
title = {{Finite-Time Synchronization of Discontinuous Fractional-Order Multi-Layer Coupled Neural Networks via Aperiodic Intermittent Control}},
author = {Bibo Zheng and Yunqiu Xu and Wei Dai},
journal = {Fractal and Fractional},
year = {2026},
month = oct,
doi = {10.3390/fractalfract10110763},
url = {https://www.mdpi.com/2504-3110/10/11/763},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Finite-Time Synchronization of Discontinuous Fractional-Order Multi-Layer Coupled Neural Networks via Aperiodic Intermittent Control
AU - Bibo Zheng
AU - Yunqiu Xu
AU - Wei Dai
PY - 2026
DA - 2026/10/30
JO - Fractal and Fractional
DO - 10.3390/fractalfract10110763
UR - https://www.mdpi.com/2504-3110/10/11/763
AB - This paper is mainly concentrated on finite-time synchronization (FTS) for discontinuous fractional-order multi-layer coupled neural networks (FMCNNs) under aperiodic intermittent control. The discontinuous activation function is introduced to capture abrupt transitions and switching phenomena widely observed in practical neural dynamics. However, such nonsmooth behaviors significantly increase the complexity of controller design and synchronization analysis. To cope with these problems, an aperiodic intermittent controller with a simple structure is developed within the Filippov differential inclusion framework, ensuring effective handling of nonsmooth neural dynamics while reducing control cost. More importantly, a piecewise fractional-order differential inequality is established to characterize the evolution of the Lyapunov function over the control and rest intervals under aperiodic switching. This inequality serves as a fundamental analytical tool for deriving sufficient conditions for FTS and estimating the settling time. Compared with the existing results, the proposed framework relaxes the restrictions on the power exponent and provides a more general analytical tool for investigating the FTS of discontinuous FMLCNNs. In the end, a simulation example is provided to show the validity of the proposed method.
SN - 2504-3110
ER -