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arXiv · 1401.3815

On Swarm Stability of Linear Time-Invariant Descriptor Compartmental Networks

Ning Cai·M. Junaid Khan
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Abstract

Swarm stability is concerned 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 critical swarm stability are presented, which require a joint matching between the interactive dynamics of nearest neighboring vertices and the Laplacian spectrum of the overall network topology. Three numerical instances are illustrated to verify the theoretical results.

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Ning Cai, M. Junaid Khan. 2014-01-16. On Swarm Stability of Linear Time-Invariant Descriptor Compartmental Networks. https://doi.org/10.1049/iet-cta.2014.0130

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