Leader-Following Consensus of Fractional Nonlinear Multiagent Systems. (8th June 2015)

• Record Type: Journal Article
• Authors: Ren, Guojian; Yu, Yongguang; Zhang, Shuo
• Other Names: Gal Ciprian G. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-06-08
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/919757
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The leader-following consensus of fractional nonlinear multiagent systems is investigated over an undirected fixed interaction graph. Mittag-Leffler stability and the fractional Lyapunov direct method are firstly introduced into the fractional multiagent systems. The sufficient conditions are given to guarantee that the leader-following consensus can be achieved in the systems with both single-integrator dynamics and double-integrator dynamics. Finally, the numerical simulations are given to verify the correctness of the presented theory.