Projective synchronization of nonidentical fractional-order neural networks based on sliding mode controller. (April 2016)

• Record Type: Journal Article
• Authors: Ding, Zhixia; Shen, Yi
• Is Part Of: Neural networks. Volume 76(2016)
• Page Start: 97
• Page End: 105
• Publication Date: 2016-04
• Subjects: Projective synchronization -- Fractional-order neural networks -- Sliding mode controller -- Fractional-order integral sliding surface; Neural computers -- Periodicals; Neural networks (Computer science) -- Periodicals; Neural networks (Neurobiology) -- Periodicals; Nervous System -- Periodicals; Ordinateurs neuronaux -- Périodiques; Réseaux neuronaux (Informatique) -- Périodiques; Réseaux neuronaux (Neurobiologie) -- Périodiques; Neural computers; Neural networks (Computer science); Neural networks (Neurobiology); Periodicals; 006.32
• DOI: 10.1016/j.neunet.2016.01.006
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: This paper investigates global projective synchronization of nonidentical fractional-order neural networks (FNNs) based on sliding mode control technique. We firstly construct a fractional-order integral sliding surface. Then, according to the sliding mode control theory, we design a sliding mode controller to guarantee the occurrence of the sliding motion. Based on fractional Lyapunov direct methods, system trajectories are driven to the proposed sliding surface and remain on it evermore, and some novel criteria are obtained to realize global projective synchronization of nonidentical FNNs. As the special cases, some sufficient conditions are given to ensure projective synchronization of identical FNNs, complete synchronization of nonidentical FNNs and anti-synchronization of nonidentical FNNs. Finally, one numerical example is given to demonstrate the effectiveness of the obtained results.