Sampled containment control for multi-agent systems with nonlinear dynamics

In this paper, the sampled containment control scheme is proposed to study leader-following consensus problem in second-order systems. Compared to existing investigations, we develop the containment control to the sampled-data case for sake of the movements of the agents and the limited capacities of the communication. Furthermore, it is noted that the proposed algorithm is discussed for nonlinear dynamics which is much more challenging rather than linear ones. By using the LMIs and Lyapunov method, some useful sufficient conditions are presented. Finally the numerical examples are included to validate the effectiveness of proposed algorithms.