Frequency-domain criteria for consensus in multiagent systems with nonlinear sector-shaped couplings

Consideration was given to the distributed algorithms for consensus (synchronization) in the multiagent networks with identical agents of arbitrary order and unknown nonlinear couplings satisfying the sector inequalities or their multidimensional counterparts. The network topology may be unknown and varying in time. A frequency synchronization criterion was proposed which is a generalization of the circular criterion for absolute stability of the Lur'e systems.

Presented by the member of Editorial Board: P. S. Shcherbakov