Journal
SYSTEMS & CONTROL LETTERS
Volume 60, Issue 7, Pages 517-523Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2011.04.009
Keywords
Multi-agent systems; Cluster consensus; Nonnegative matrix; Markov chain
Funding
- National Natural Science Foundation of China [60821091, 60772158, 11072254, 61025017]
- National Basic Research (973) Program of China [2007CB310805]
- Australian Research Council [FT0992226, DP0986376]
- Australian Research Council [FT0992226] Funding Source: Australian Research Council
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Nowadays, multi-agent systems (MAS) are ubiquitous in the real world. Consensus is a fundamental natural phenomenon. Over the past decade, consensus of MAS has received increasing attention from various disciplines. This paper aims to further investigate a novel kind of cluster consensus of MAS with several different subgroups. Based on Markov chains and nonnegative matrix analysis, two novel cluster consensus criteria are obtained for MAS with fixed and switching topology, respectively. Furthermore, numerical simulations are also given to validate the effectiveness of these proposed criteria. The proposed cluster consensus criteria have some potential applications in real world engineering systems. (C) 2011 Elsevier B.V. All rights reserved.
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