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

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2 Author(s)
Liu, Chenglin ; Institute of Automation, Jiangnan University, Wuxi 214122, P. R. China ; Liu, Fei

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.

Published in:
Systems Engineering and Electronics, Journal of  (Volume:22 ,  Issue: 4 )

Date of Publication: Aug. 2011

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