Swarm stability of linear time‐invariant descriptor compartmental networks
Ning Cai, M. Junaid Khan · IET Control Theory and Applications · 2014
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 results.