Second-order consensus in directed networks of identical nonlinear dynamics via impulsive control

This paper investigates the problem of second-order impulsive consensus for multi-agent systems where each agent can be modeled as an identical nonlinear oscillator. Several fundamental consensus criteria are delivered based on algebraic graph theory and stability theory of impulsive differential equations by designing the suitable impulsive control protocols. Sufficient conditions are given to guarantee the consensus of the networked nonlinear oscillators. Finally, simulation results are presented to validate the effectiveness of theoretical analysis.