Intermittent event-triggered control for finite-time bipartite consensus of second-order multi-agent systems

This article discusses how second-order nonlinear multi-agent systems achieve bipartite consensus in finite-time using intermittent event-triggered control strategies. Due to the problem arising from antagonistic links between neighboring nodes of second-order multi-agents, the finite-time bipartite consensus analysis is investigated, which is more challenging than that with only cooperative communication links. Accounting for limitations of communication bandwidths, an intermittent framework is proposed first. By utilizing algebraic graph theories and gauge transformations, sufficient conditions are given to achieve finite-time consensus in signed second-order multi-agent systems. Second, a hybrid control mechanism combining intermittent control with event-triggered control is developed. Therefore, some finite-time synchronization conditions of second-order multi-agents on signed graphs are further studied. The proposed protocol reduces the updating frequency of the controller, which saves communication resources a lot. Finally, the Zeno behavior is excluded and some numerical examples are performed to show the effectiveness of the theoretical analysis.