Second-order node-to-node consensus of nonlinear multi-agent systems via pinning control. (2016)

• Record Type: Journal Article
• Authors: Jia, Kexin; Li, Hongjie; Zheng, Wenqiang; Mou, Qinyou; Shao, Jiajun
• Is Part Of: International journal of automation and logistics. Volume 2:Number 3(2016)
• Page Start: 181
• Page End: 192
• Publication Date: 2016
• Subjects: multi-agent systems -- MAS -- agent-based systems -- second-order node-to-node consensus -- M-matrix theory -- nonlinear dynamics -- pinning control -- Lyapunov stability theory; Automation -- Periodicals; Logistics -- Periodicals; Logistics -- Computer programs -- Periodicals; 658.514
• Languages: English
• ISSNs: 2049-6745

Abstract

This paper investigates the distributed second-order node-to-node consensus problem of multi-agent systems with nonlinear dynamics. The coordination goal to make each follower track the corresponding leader asymptotically where only a small fraction of followers can sense the states of their corresponding leaders. A novel control protocol is introduced. Based on the Lyapunov stability theory and M-matrix theory, some novel and simple criteria are derived for second-order node-to-node consensus of multi-agent systems under the condition that only a small fraction of followers can sense their corresponding leaders. Finally, a numerical example is provided to demonstrate the effectiveness of the obtained theoretical results.