Synchronization of coupled nonlinear systems with time delay

@article{Yamamoto2007SynchronizationOC,
  title={Synchronization of coupled nonlinear systems with time delay},
  author={Takashi Yamamoto and Toshiki Oguchi and Henk Nijmeijer},
  journal={2007 European Control Conference (ECC)},
  year={2007},
  pages={3056-3061}
}
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. 

References

Publications referenced by this paper.
Showing 1-9 of 9 references

Anticipating synchronization of nonlinear systems with uncertainties ”

H. Nijmeijer
2006

On synchronization of networked passive systems with time delays and application to bilateral teleoperation ”

M. W. Spong
2005

Improved delaydependent stability criteria for time - delay systems ”

J. Lam
Introduction to the Theory and Applications of Functional Differential Equations • 1999

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