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Average Consensus in Networks of Multi-Agent with Multiple Time-Varying Delays

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DOI: 10.4236/ijcns.2010.32028    5,638 Downloads   10,564 Views   Citations

ABSTRACT

The average consensus in undirected networks of multi-agent with both fixed and switching topology coupling multiple time-varying delays is studied. By using orthogonal transformation techniques, the original system can be turned into a reduced dimensional system and then LMI-based method can be applied conveniently. Convergence analysis is conducted by constructing Lyapunov-Krasovskii function. Sufficient conditions on average consensus problem with multiple time-varying delays in undirected networks are obtained via linear matrix inequality (LMI) techniques. In particular, the maximal admissible upper bound of time-varying delays can be easily obtained by solving several simple and feasible LMIs. Finally, simulation examples are given to demonstrate the effectiveness of the theoretical results.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

T. ZHANG and H. YU, "Average Consensus in Networks of Multi-Agent with Multiple Time-Varying Delays," International Journal of Communications, Network and System Sciences, Vol. 3 No. 2, 2010, pp. 196-203. doi: 10.4236/ijcns.2010.32028.

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