Analysis of coordination in multi-agent systems through partial difference equations

@article{FerrariTrecate2006AnalysisOC,
  title={Analysis of coordination in multi-agent systems through partial difference equations},
  author={Giancarlo Ferrari-Trecate and Annalisa Buffa and Mehdi Gati},
  journal={IEEE Transactions on Automatic Control},
  year={2006},
  volume={51},
  pages={1058-1063}
}
In this note, we introduce the framework of partial difference equations (PdEs) over graphs for analyzing the behavior of multi-agent systems equipped with decentralized control schemes. Both leaderless and leader-follower models are considered. PdEs mimic partial differential equations (PDEs) on graphs and can be studied by introducing concepts of functional analysis strongly inspired to the corresponding ones arising in PDEs theory. We generalize different models proposed in the literature by… CONTINUE READING
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