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Complexity
Volume 2018, Article ID 8265637, 9 pages
https://doi.org/10.1155/2018/8265637
Research Article

Stabilization of Heterogeneous Multiagent Systems via Harmonic Control

1Institute of Complexity Science, College of Automation and Electrical Engineering, Qingdao University, Qingdao 266071, China
2School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China
3College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

Correspondence should be addressed to Zhijian Ji; nc.gro.ukp@naijihzij

Received 11 April 2018; Revised 25 July 2018; Accepted 8 August 2018; Published 30 September 2018

Academic Editor: Zidong Wang

Copyright © 2018 Xianzhu Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Stabilizing multiagent systems including unstable agents shows the advantage of cooperation. This paper addresses the problem of stabilization of heterogeneous multiagent systems. Under cycle graphs, a sufficient condition for the stabilization problem via harmonic control is provided and an algorithm of designing the interconnection gains is presented. Furthermore, a sufficient and necessary condition for stabilization problem via harmonic control under cycle graphs is first given when the graph contains less than 5 nodes.