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Cluster Anticonsensus of Multiagent Systems Based on the -Theory

Liping Zhang, Haibo Jiang and Shuguang Guo

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-7

Abstract:

We investigate the problem of cluster anticonsensus of multiagent systems. For multiagent continuous systems, a new control protocol is designed based on the -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 -theory and LaSalle's invariance principle. Numerical simulations show the effectiveness of our theoretical results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:254749

DOI: 10.1155/2014/254749

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