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Analysis of Second Order Cluster Consensus for Directed Networks with Time Delay

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Abstract In this paper, we consider the cluster consensus problem in delayed directed networks where agents are described by second-order discrete-time dynamics. Unlike first order systems, delay is shown to… Click to show full abstract

Abstract In this paper, we consider the cluster consensus problem in delayed directed networks where agents are described by second-order discrete-time dynamics. Unlike first order systems, delay is shown to lead to instability in second order systems if the controller parameters are not chosen properly. Furthermore, the numerical results reveal that as the amount of delay increases, the stability region in the controller parameter space shrinks.

Keywords: second order; directed networks; order; cluster consensus

Journal Title: IFAC-PapersOnLine
Year Published: 2019

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