Journal of System Simulation ›› 2018, Vol. 30 ›› Issue (4): 1287-1293.doi: 10.16182/j.issn1004731x.joss.201804010

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Group Consensus of Multi-agent Networks with Multiple Time Delays

Ji Lianghao, Zhao Xinyue   

  1. Chongqing key laboratory of Computational Intelligence, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • Received:2016-05-18 Revised:2016-10-18 Online:2018-04-08 Published:2019-01-04

Abstract: The group consensus problems for first-order and second-order multi-agent networks with multiple time delays are investigated respectively. Based on the theory of frequency-domain, some algebraic criteria are analytically proposed, which can guarantee the achievement of group consensus. The results show that the input time delays, the coupling weights and the coupling strengths between the agents play key roles in reaching group consensus, whereas communication time delays can only affect the convergence rate of the systems. The validity of the results is verified by several simulated examples.

Key words: time delays, group consensus, multi-agent networks, complex networks

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