The Popov Criterion For Consensus Between Delayed Agents

Anton V. Proskurnikov
2013 IFAC Proceedings Volumes  
We consider consensus algorithms for multi-agent networks with high-order and delayed dynamics of agents. The topology is assumed to be fixed and undirected, however the couplings may be nonlinear and uncertain, we assume only the symmetry condition to be valid. We obtain conditions of stability for such algorithms that are similar in spirit to the celebrated Popov criterion for the stability of Lurie systems.
doi:10.3182/20130904-3-fr-2041.00207 fatcat:r7lkqlonxzbxjodkqva425hnhe