Adaptive‐impulsive function projective synchronization for a class of time‐delay chaotic systems. Issue 2 (21st September 2014)

• Record Type: Journal Article
• Authors: Zheng, Song
• Is Part Of: Complexity. Volume 21:Issue 2(2015)
• Page Start: 333
• Page End: 341
• Publication Date: 2014-09-21
• Subjects: chaotic systems -- time‐delay systems -- function projective synchronization -- adaptive‐impulsive control; Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1002/cplx.21608
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This article investigates the function projective synchronization (FPS) for a class of time‐delay chaotic system via nonlinear adaptive‐impulsive control. To achieve the FPS, suitable nonlinear continuous and impulsive controllers are designed based on adaptive control theory and impulsive control theory. Using the generalized Babarlat's lemma, a general condition is given to ensure the FPS. Here, the time‐delay chaotic system is assumed to satisfy the Lipschitz condition while the Lipschitz constants are estimated by augmented adaptation equations. Numerical simulation results are also presented to verify the effectiveness of the proposed synchronization scheme. © 2014 Wiley Periodicals, Inc. Complexity 21: 333–341, 2015