Bipartite Consensus for a Class of Double-Integrator Multi-Agent Systems with Antagonistic Interactions
Yanhua Yang, Rui Ding, Wenfeng Hu · 2019
In this paper, the bipartite consensus problem is addressed for a class of double-integrator multi-agent systems with antagonistic interactions. The cases with and without communication time delay are considered. In particular, if the communication time delay is not taken into account, the bipartite consensus of the multi-agent systems with directed signed graph can be achieved by the proposed distributed controller. If the communication time delay is considered, the bipartite consensus of the multi-agent systems with undirected signed graph can be achieved and the upper bound of the time delay is further derived. Finally, some numerical examples are provided to illustrate the correctness of the results.