On Swarm Stability of Linear Time-Invariant Descriptor Compartmental Networks

摘要

Swarm stability is concerned for descriptor compartmental networks withlinear time-invariant protocol. Compartmental network is a specific type ofdynamical multi-agent system. Necessary and sufficient conditions for bothconsensus and critical swarm stability are presented, which require a jointmatching between the interactive dynamics of nearest neighboring vertices andthe Laplacian spectrum of the overall network topology. Three numericalinstances are illustrated to verify the theoretical results.