Output-based high-order bipartite consensus under directed antagonistic networks
Hongwen Ma, Derong Liu, Ding Wang, Hongliang Li · 2014
In the presence of negative weights in communication graph, bipartite consensus is an extension of the traditional consensus problems where the communication weights are all positive. An output-based distributed control protocol is established to solve the bipartite consensus of the homogeneous multi-agent systems. Bipartite consensus problem is equivalent to a linear stabilizable and detectable problem by introducing a gauge transformation. If the multi-agent systems can reach the bipartite consensus, then the signed digraph should be structurally balanced and contains a spanning tree. Finally, the implementation provides three cases to validate the effectiveness of our developed criteria.