Adaptive Second-Order Synchronization of Two Heterogeneous Nonlinear Coupled Networks. (12th October 2015)

• Record Type: Journal Article
• Authors: Liu, Bo; Li, Shuang; Tang, Xuhui
• Other Names: Chen Michael Z. Q. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-10-12
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/578539
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper investigates the second-order synchronization of two heterogeneous nonlinear coupled networks by introducing controller and adaptive laws. Based on Lyapunov stability properties and LaSalle invariance principle, it is proved that the position and the velocity of two heterogeneous nonlinear coupled networks are asymptotically stable. Finally, some numerical simulations are presented to verify the analytical results.