Cluster Anticonsensus of Multiagent Systems Based on the Q -Theory
Liping Zhang, Haibo Jiang, Shu-Guang Guo · Discrete Dynamics in Nature and Society · 2014
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.