Impulsive containment control for second-order networked multi-agent systems with sampled information

A containment control problem with impulsive protocols for second-order networked multi-agent systems (NMASs) with several leaders under a directed network topology is investigated in this paper. In the case of stationary leaders, by analyzing the eigenvalues of a matrix and using the bilinear transformation theorem, a necessary and sufficient condition for the NMASs to achieve containment control is derived. In the case of dynamic leaders with fixed velocities, by calculating a limitation, a sufficient condition for the NMASs to achieve containment control is given. Numerical simulations illustrate the effectiveness of the theoretical results.