Event-driven containment control for a class of nonlinear multi-agent systems with sampled-data.

This paper focuses on the containment control problem for a class of nonlinear multi-agent systems (MASs) with sampled-data. To enhance the efficiency of utilizing communication resources, a new distributed sampled-data-based event-triggered transmission strategy is proposed. This event-driven strategy requires that event detector works only at periodic sampling instants. By employing the techniques such as input delay method, inequality technique and the Lyapunov stability theory, sufficient criteria are derived to ensure that each follower converges to the convex hull spanned by the leaders. A convex optimization method is employed to search for the desired controller gain by maximizing the maximum-allowable bound of sampling intervals. Additionally, for some special scenarios, to reduce computational complexity, the matrix decoupling technique is utilized to reduce the dimension of matrix inequalities, thereby facilitating application to large-scale MASs. Finally, the effectiveness of the proposed theory is verified by a simulation example. [ABSTRACT FROM AUTHOR]