Finite-time hybrid projective synchronization of unified chaotic system. (December 2014)

• Record Type: Journal Article
• Authors: Wei, Qiang; Wang, Xing-yuan; Hu, Xiao-peng
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 36:Number 8(2014)
• Page Start: 1069
• Page End: 1073
• Publication Date: 2014-12
• Subjects: Finite-time stability theory -- hybrid projective synchronization -- Lyapunov stability theory -- unified chaotic system; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331214532997
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper presents finite-time hybrid projective synchronization for the unified chaotic system. The significant contribution of this paper is that master–slave system realizes hybrid projective synchronization within a pre-specified convergence time. Base on the Lyapunov stability theory and finite-time stability theory, a finite-time controller is derived to make the state of the slave system exponentially synchronize the state of the master system, and the different components of state of the slave system and the master system synchronize up to different desired scaling constant. Numerical simulations are presented to show the effectiveness of theoretical analysis.