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A. Papachristodoulou and A. Jadbabaie, “Synchronization in oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics,” In Proceedings of the 45th IEEE Conference Decision and Control, pp. 4307–4312, December 2006.

has been cited by the following article:

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

  AUTHORS: Tiecheng ZHANG, Hui YU

  KEYWORDS: Average Consensus, Multi-Agent System, Multiple Time-Varying Delays, Linear Matrix Inequality

  JOURNAL NAME: International Journal of Communications, Network and System Sciences, Vol.3 No.2, March 1, 2010

  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.