Privacy-Preserving Bipartite Consensus of Discrete Multi-agent Systems Under Event-Triggered Protocol

This paper studies the bipartite consensus in multi-agent systems with an emphasis on privacy-preserving measures in collaborative-competitive networks. Firstly, we employ state decomposition to secure the initial state values of each node, preventing the disclosure of individual state information during the bipartite consensus process. For each node, the first sub-state is involved in computation and interacts with internal nodes, while the other sub-state interacts exclusively with its corresponding first sub-state. Then, based on the decomposed state values of the nodes, we propose an event-triggered bipartite consensus control method, assuring effective utilization of communication resources. Finally, a simulation experiment is given to demonstrate the validity of the theoretical results.