Pinning synchronization control for multi-layer complex networks via adaptive fuzzy logic system. (November 2021)

• Record Type: Journal Article
• Authors: Sun, Shixiang; Ren, Tao; Xu, Yanjie
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 43:Number 15(2021)
• Page Start: 3388
• Page End: 3398
• Publication Date: 2021-11
• Subjects: Synchronization -- pinning control -- multi-layer networks -- fuzzy logic approximation; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/01423312211024861
• Languages: English
• ISSNs: 0142-3312

Abstract

In this paper, the pinning synchronization problem for the multi-layer networks with dynamic uncertainties is studied. The dynamical uncertainties can be approximated by a fuzzy logic system, based on which, the pinning synchronization scheme is proposed. By using Lyapunov stability theorem, the sufficient condition is given that can ensure that the multi-layer networks can synchronize to the reference trajectory with designed adaptive law. Finally, a numerical example is given to verify the effectiveness of the proposed pinning control scheme.