Finite-Time Synchronization of Uncertain Fractional-Order Delayed Memristive Neural Networks via Adaptive Sliding Mode Control and Its Application
Abstract
:1. Introduction
- (1)
- In this paper, the influences of discrete delay, leakage delay, unknown parameters and external disturbances on FMNNs synchronization are considered. Therefore, compared with the previous studies that only consider a single delay or assume that the system is a deterministic system, the theoretical results obtained by us are more comprehensive.
- (2)
- A FATSMC scheme is proposed to deal with the disturbances with unknown upper bound. With this control scheme, the FTS of uncertain FMNNs is realized. In addition, the corresponding synchronization criteria and the explicit expression of ST are given.
- (3)
- FMNNs show satisfactory chaos, which makes them have unique advantages in signals masking. Based on the knowledge of secure communication, a signal encryption and decryption scheme is designed, and the FTS of FMNNs is successfully applied to signal encryption.
2. Preliminaries and Model Description
2.1. Preliminaries
2.2. Model Description
3. Main Results
4. Simulation Example and Application Analysis
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Jia, T.; Chen, X.; He, L.; Zhao, F.; Qiu, J. Finite-Time Synchronization of Uncertain Fractional-Order Delayed Memristive Neural Networks via Adaptive Sliding Mode Control and Its Application. Fractal Fract. 2022, 6, 502. https://doi.org/10.3390/fractalfract6090502
Jia T, Chen X, He L, Zhao F, Qiu J. Finite-Time Synchronization of Uncertain Fractional-Order Delayed Memristive Neural Networks via Adaptive Sliding Mode Control and Its Application. Fractal and Fractional. 2022; 6(9):502. https://doi.org/10.3390/fractalfract6090502
Chicago/Turabian StyleJia, Tianyuan, Xiangyong Chen, Liping He, Feng Zhao, and Jianlong Qiu. 2022. "Finite-Time Synchronization of Uncertain Fractional-Order Delayed Memristive Neural Networks via Adaptive Sliding Mode Control and Its Application" Fractal and Fractional 6, no. 9: 502. https://doi.org/10.3390/fractalfract6090502