Finite-Time Synchronization of Uncertain Fractional-Order Delayed Memristive Neural Networks via Adaptive Sliding Mode Control and Its Application

• Published in: Fractal and fractional Vol. 6; no. 9; p. 502
• Main Authors: Jia, Tianyuan, Chen, Xiangyong, He, Liping, Zhao, Feng, Qiu, Jianlong
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01-09-2022
• Subjects: Adaptive control; adaptive terminal sliding mode control; Calculus; Communication; Disturbances; finite-time synchronization; Fractals; fractional-order memristive neural networks; Influence; Mathematical functions; Neural networks; Parameter uncertainty; secure communication; Sliding mode control; Time synchronization; Upper bounds
• ISSN: 2504-3110; 2504-3110
• DOI: 10.3390/fractalfract6090502

Finite-time synchronization (FTS) of uncertain fractional-order memristive neural networks (FMNNs) with leakage and discrete delays is studied in this paper, in which the impacts of uncertain parameters as well as external disturbances are considered. First, the fractional-order adaptive terminal sliding mode control scheme (FATSMC) is designed, which can effectively estimate the upper bounds of unknown external disturbances. Second, the FTS of the master–slave FMNNs is realized and the corresponding synchronization criteria and the explicit expression of the settling time (ST) are obtained. Finally, a numerical example and a secure communication application are provided to demonstrate the validity of the obtained results.