Abstract
Collective dynamics is a complex emergence phenomenon yielded by local interactions within multi-agent systems. When agents cooperate or compete in the community, a collective behavior, such as consensus, polarization or diversity, may emerge. In this paper, we investigate a bipartite consensus process, in which all the agents converge to a final state characterized by identical modulus but opposite sign. Firstly, the interaction network of the agents is represented by a directed signed graph. A neighbor-based interaction rule is proposed for each agent with a single integrator dynamics. Then, we classify the signed network into heterogeneous networks and homogeneous networks according to the sign of edges. Under a weak connectivity assumption that the signed network has a spanning tree, some sufficient conditions are derived for bipartite consensus of multi-agent systems with the help of a structural balance theory. At the same time, signless Laplacian matrix and signed Laplacian matrix are introduced to analyze the bipartite consensus of multi-agent systems on homogeneous networks and heterogenous networks, respectively. Finally, simulation results are provided to demonstrate the bipartite consensus formation.
| Original language | English |
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| Title of host publication | Proceedings of the 2013 IEEE 52nd Annual Conference on Decision and Control (CDC'2013): 10-13 December 2013, Florence, Italy |
| Publisher | IEEE |
| Pages | 3451-3456 |
| Number of pages | 6 |
| ISBN (Print) | 9781467357166 |
| DOIs | |
| Publication status | Published - 2013 |
| Event | IEEE Conference on Decision & Control - Duration: 10 Dec 2013 → … |
Conference
| Conference | IEEE Conference on Decision & Control |
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| Period | 10/12/13 → … |