An assignment-driven multi-consensus problem of multi-agent systems with heterogeneous delays is investigated in this paper. By introducing a concept of intelligent adjustment factor, a distributed impulsive protocol is designed, in which only the delayed sampled relative positions to neighbors and the relative position to the last sampling state are utilized. Combined with the characteristic of impulsive control, three steps of model transformation are performed, and the assignment-driven multi-consensus problem of the original continuous-time system is converted to the stability problem of a discrete-time expanded analogous error system. A necessary and sufficient criterion is derived to guarantee the assignment-driven multi-consensus of the multi-agent system. An interesting simulation is proposed to demonstrate the effectiveness of the theoretical result and reveal the effect of intelligent adjustment factors on the assignment-driven multi-consensus.
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