Synchronization in Networks of Diffusively Time-Delay Coupled (Semi-)Passive Systems

@article{Steur2011SynchronizationIN,
  title={Synchronization in Networks of Diffusively Time-Delay Coupled (Semi-)Passive Systems},
  author={Erik Steur and Henk Nijmeijer},
  journal={IEEE Transactions on Circuits and Systems I: Regular Papers},
  year={2011},
  volume={58},
  pages={1358-1371}
}
We consider networks with a general topology which consist of nonlinear systems that interact via diffusive coupling with constant time-delays. Using the notion of (semi-)passivity we prove under some mild assumptions that passive systems will synchronize and that the solutions of interconnected semi-passive systems will be bounded. Furthermore we prove that identical strictly semi-passive systems, whose internal dynamics are stable, always will synchronize given that the coupling between the… CONTINUE READING
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