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• W1549546131 abstract "This paper investigates the consensus problem of a multi-agent directed network with nonlinear perturbations (MNNP). Our main objective is to study how the nonlinear perturbations affect a consensus of a multi-agent network. Based on a reduced-order transformation, it is shown that an MNNP cannot reach a consensus under a hypothesis even though the discussed network has a spanning tree. The hypothesis shows a detailed relationship between the nonlinear perturbations and the structure of the multi-agent network. An impulsive approach is then introduced, and a simple criterion is presented to guarantee the consensus of all agents for an MNNP. Finally, a numerical example is provided to illustrate the effectiveness of the obtained criterion. Copyright © 2011 John Wiley & Sons, Ltd." @default.
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• W1549546131 date "2011-07-19" @default.
• W1549546131 modified "2023-10-07" @default.
• W1549546131 title "Impulsive consensus of multi-agent directed networks with nonlinear perturbations" @default.
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• W1549546131 doi "https://doi.org/10.1002/rnc.1768" @default.
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