title: Popov-Type Criterion for Consensus in Nonlinearly Coupled Networks.
abstract: This paper addresses consensus problems in nonlinearly coupled networks of dynamic agents described by a common and arbitrary linear model. Interagent interaction rules are uncertain but satisfy the standard sector condition with known sector bounds; both the agent's model and interaction topology are time-invariant. A novel frequency-domain criterion for consensus is offered that is similar to and extends the classical Popov's absolute stability criterion.
authors.forename: Anton
authors.initials: A
authors.lastname: Proskurnikov
authors.forename: Alexey
authors.initials: A
authors.lastname: Matveev