Title :
Cluster synchronization algorithms
Author :
Weiguo Xia ; Ming Cao
Author_Institution :
Fac. of Math. & Natural Sci., Univ. of Groningen, Groningen, Netherlands
fDate :
June 30 2010-July 2 2010
Abstract :
This paper presents two approaches to achieving cluster synchronization in dynamical multi-agent systems. In contrast to the widely studied synchronization behavior, where all the coupled agents converge to the same value asymptotically, in the cluster synchronization problem studied in this paper, we require that all the interconnected agents to evolve into several clusters and each agent only to synchronize within its cluster. The first approach is to add a constant forcing to the dynamics of each agent that are determined by positive diffusive couplings; and the other is to introduce both positive and negative couplings between the agents. Some sufficient and/or necessary conditions are constructed to guarantee n-cluster synchronization behavior. Simulation results are presented to illustrate the effectiveness of the theoretical analysis.
Keywords :
multi-agent systems; pattern clustering; synchronisation; cluster synchronization algorithms; dynamical multiagent systems; positive diffusive couplings; Analytical models; Animals; Clustering algorithms; Control systems; Cows; Mathematical model; Mathematics; Multiagent systems; Social network services; Systems engineering and theory;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531433