Popov-Type Criterion for Consensus in Nonlinearly Coupled Networks
Anton V. Proskurnikov, Alexey S. Matveev · IEEE Transactions on Cybernetics · 2014
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.