Title: Second-order node-to-node consensus of nonlinear multi-agent systems via pinning control

Authors: Kexin Jia; Hongjie Li; Wenqiang Zheng; Qinyou Mou; Jiajun Shao

Addresses: College of Mathematics and Information and Engineering, Jiaxing University, Zhejiang, 314001, China ' College of Mathematics and Information and Engineering, Jiaxing University, Zhejiang, 314001, China ' College of Mathematics and Information and Engineering, Jiaxing University, Zhejiang, 314001, China ' College of Mathematics and Information and Engineering, Jiaxing University, Zhejiang, 314001, China ' College of Mathematics and Information and Engineering, Jiaxing University, Zhejiang, 314001, China

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.

Keywords: multi-agent systems; MAS; agent-based systems; second-order node-to-node consensus; M-matrix theory; nonlinear dynamics; pinning control; Lyapunov stability theory.

DOI: 10.1504/IJAL.2016.078498

International Journal of Automation and Logistics, 2016 Vol.2 No.3, pp.181 - 192

Received: 04 Apr 2015
Accepted: 03 Sep 2015

Published online: 18 Aug 2016 *

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