Cluster Anticonsensus of Multiagent Systems Based on the Q-Theory

الملخص EN

We investigate the problem of cluster anticonsensus of multiagent systems.

For multiagent continuous systems, a new control protocol is designed based on the Q-theory.

Then by LaSalle's invariance principle we prove that if the graph is connected and bipartite, then the cluster anticonsensus is achieved by the proposed control protocol.

On the other hand, a similar control protocol is designed for multiagent discrete-time systems.

Then, sufficient conditions are given to guarantee the cluster anticonsensus of multiagent discrete-time systems by using the Q-theory and LaSalle's invariance principle.

Numerical simulations show the effectiveness of our theoretical results.