Bipartite Consensus of Time-varying Multi-agent Systems with Signed Edge Dynamics

In this work, the bipartite consensus problem for a time-varying multi-agent system with signed edge dynamics is investigated. The interaction between agents can be modeled by a time-varying signed digraph, in which the edge weights can be any real numbers and can be denoted by some functions. The primary objective is to seek a new rule that can transform a time-varying signed node digraph to a time-varying signed edge digraph. A distributed consensus protocol is designed for the time-varying multi-agent system with signed edge dynamics. A simulation example is provided to illustrate the effectiveness of the proposed protocol.