Summary This paper studies the event‐triggered containment control problem for dynamical multiagent networks of general MIMO linear agents. An event‐triggered containment control strategy is provided, which consists of a control law based on a relative‐state feedback and a distributed triggering rule based on both the relative‐state information and a time‐dependent threshold function. Compared to the previous related works, our main contribution is that the triggering rule depends only on local information of communication networks. It is proved that under the proposed event‐based controller, the containment errors are uniformly ultimately bounded and the Zeno behavior can be excluded. Moreover, when the derivation constant in the threshold function is equal to zero, the containment control problem can be solved. Then, the results are extended to the event‐triggered observer‐based containment controller design.

This paper deals with the distributed consensus of networked linear agents via event‐driven communications by exploring relative‐state and relative‐output feedbacks. First, an alternative event‐triggered consensus design is proposed, consisting of a distributed controller with the relative‐state feedback and an event‐based communication policy, both of which can avoid employing the eigenvalues of the Laplacian matrix. Under the proposed scheme, it is proved that the residual consensus error is bounded, which is dependent on the agent number, the deviation constant in the threshold function, and the associated algebraic Riccati equation. Next, the design is extended to the case of the output event‐driven consensus control by using local observers.

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