On Swarm Stability of Linear Time-Invariant Descriptor Compartmental Networks

@article{Cai2014OnSS,
  title={On Swarm Stability of Linear Time-Invariant Descriptor Compartmental Networks},
  author={Ning Cai and Muhammad Junaid Khan},
  journal={ArXiv},
  year={2014},
  volume={abs/1401.3815}
}
Swarm stability is studied for descriptor compartmental networks with linear time-invariant protocol. Compartmental network is a specific type of dynamical multi-agent system. Necessary and sufficient conditions for both consensus and marginal swarm stability are presented, which require a joint matching between the interactive dynamics of nearest neighbouring vertices and the Laplacian spectrum of the overall network topology. Three numerical instances are provided to verify the theoretical… 

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