Cluster Consensus of Nonlinearly Coupled Multi-Agent Systems in Directed Graphs
Xiaoqing Lu, Francis Austin, Chen Shi-Hua · Chinese Physics Letters · 2010
We investigate the cluster consensus problem in directed networks of nonlinearly coupled multi-agent systems by using pinning control. Depending on the community structure generated by the group partition of the underlying digraph, various clusters can be made coherently independent by applying feedback injections to a fraction of the agents. Sufficient conditions for cluster consensus are obtained using algebraic graph theory and matrix theory and some simulations results are included to illustrate the method.