AbstractThis article studies the problem of event‐triggered consensus for linear multiagent systems. Leaderless and leader‐following cases are considered here. By adopting adaptive technology and utilizing the relationship between parameters, novel fully distributed control schemes are proposed. Both the control updates and the communication consumption between agents can be declined under the designed hybrid event‐triggered controller. Meanwhile, different from some existing event‐based control schemes, the projection operator is avoided so that the developed controllers use only local signal, which relies on neither the minimum nonzero eigenvalue of the Laplacian matrix nor the total number of agents. The designed control schemes can ensure that leaderless and leader‐following consensus to be achieved asymptotically, and Zeno behavior is excluded by presenting a hybrid event‐triggered mechanism. Simulation examples are provided to demonstrate the effectiveness of the presented control protocols.