Synchronization of coupled nonlinear systems with time delay

  title={Synchronization of coupled nonlinear systems with time delay},
  author={Takashi Yamamoto and Toshiki Oguchi and Henk Nijmeijer},
  journal={2007 European Control Conference (ECC)},
In this paper we consider synchronization of two identical nonlinear systems bidirectionally coupled with time-delay. Firstly, we show using the small-gain theorem that trajectories of coupled strictly semi-passive systems converge to a bounded region. Next, using this result, we derive a condition for synchronization of the systems by the Lyapunov-Krasovskii theorem. Finally we illustrate the effectiveness of the derived conditions with a numerical example. 


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