Cluster synchronization and controllability of complex multi-agent networks
2012 (English)Conference paper (Refereed)
This paper discloses the similarities between the condition for realizing cluster synchronization and that for uncontrollability in diffusively coupled multi-agent networks, both of which are built upon the characteristics of the networks' topologies. We first generalize the notions of equitable partitions and almost equitable partitions to make them applicable to directed, weighted graphs. Consequently, we are enabled to characterize the controllable subspace of a given diffusively coupled multi-agent system using graph theoretic ideas. After comparing the condition to realize cluster synchronization and the condition for the network to be controllable, we conclude that those diffusively coupled multi-agent networks that are not controllable usually realize cluster synchronization asymptotically. Simulation results are provided to illustrate the theoretical results.
Place, publisher, year, edition, pages
2012. 165-168 p.
IdentifiersURN: urn:nbn:se:kth:diva-165308DOI: 10.1109/ISCAS.2012.6271573ISI: 000316903700040ScopusID: 2-s2.0-84866618042OAI: oai:DiVA.org:kth-165308DiVA: diva2:807965
2012 IEEE International Symposium on Circuits and Systems, ISCAS 2012, Seoul, South Korea, 20-23 May 2012
QC 201504272015-04-262015-04-262015-04-27Bibliographically approved