Journal of Systems Engineering and Electronics ›› 2011, Vol. 22 ›› Issue (4): 672-678.doi: 10.3969/j.issn.1004-4132.2011.04.017

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Consensus problem of second-order multi-agent systems with time-varying communication delay and switching topology

Chenglin Liu* and Fei Liu   

  1. Institute of Automation, Jiangnan University, Wuxi 214122, P. R. China
  • Online:2011-08-24 Published:2010-01-03


Leader-following stationary consensus problem is investigated for the second-order multi-agent systems with timevarying communication delay and switching topology. Based on Lyapunov-Krasovskii functional and Lyapunov-Razumikhin functions respectively, consensus criterions in the form of linear matrix inequality (LMI) are obtained for the system with time-varying communication delays under static interconnection topology converging to the leader’s states. Moreover, the delay-dependent consensus
criterion in the form of LMI is also obtained for the system with time-invariant communication delay and switching topologies by constructing Lyapunov-Krasovskii functional. Numerical simulations present the correctness of the results.