On Swarm Stability of Linear Time-Invariant Descriptor Compartmental Networks
arXiv:1401.3815 · doi:10.1049/iet-cta.2014.0130
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.