CONSENSUS BETWEEN NONLINEARLY COUPLED
We address the problem of synchronization (consensus)
in multi-agent networks with switching topology
and nonlinear couplings. The agents are assumed to
obey linear stationary delay equations without strictly
unstable poles, however, they may be heterogeneous
and have arbitrary order. The couplings may be uncertain,
assumed only to satisfy conventional sector inequalities.
We offer easily verifiable synchronization criteria, based on the Popov method from absolute stability theory and close in spirit to circle and Popov stability criteria.