Limits on the network sensitivity function for multi-agent systems on a graph

@inproceedings{Tonetti2009LimitsOT,
  title={Limits on the network sensitivity function for multi-agent systems on a graph},
  author={Stefania Tonetti and Richard M. Murray},
  year={2009}
}
This report explores the tradeoffs and limits of performance in feedback control of interconnected multi-agent systems, focused on the network sensitivity functions. We consider the interaction topology described by a directed graph and we prove that the sensitivity transfer functions between every pair of agents, arbitrarily connected, can be derived using a version of the Mason’s Direct Rule. Explicit forms for special types of graphs are presented. An analysis of the role of cycles points… CONTINUE READING

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