Swarm stability of linear time-invariant descriptor compartmental networks

Ning Cai, M. Junaid Khan
2015 IET Control Theory & Applications  
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.
doi:10.1049/iet-cta.2014.0130 fatcat:rgsqnop6n5fxrpwlhp3bm72n5m