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In this paper, we propose an integral based event-triggering controller forbipartite consensus of the multi-agent systems whose dynamics are described bygeneral linear system. We prove that the system achieves the bipartiteconsensus in asymptotic regime and there is a positive minimum inter-event time(MIET) between two consecutive triggering times of each agent. The proof of theasymptotive stability involves a novel argument used to bound the norm of thedifference between the true state and its estimated state (for each time) by anintegration of its square. Numerical results are provided supporting theeffectiveness of the proposed controller.

Event-triggered bipartite consensus for multiagent system with general linear dynamics: an integral-type event triggered control