In this paper, containment control problem in directed networks for second-order multi-agent systemswith inherent nonlinear dynamics and time-delays are investigated. A distributed control protocol is proposedfor each follower using the relative states among neighboring agents. Based on Lyapunov-Razumikhin theorem,some sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that all followersasymptotically converge to the convex hull spanned by the dynamic leaders. Finally, simulation results are presentedto illustrate the effectiveness of the conclusion.
In this paper, containment control problem in directed networks for second-order multi-agent systemswith inherent nonlinear dynamics and time-delays are investigated. A distributed control protocol is proposedfor each follower using the relative states among neighboring agents. Based on Lyapunov-Razumikhin theorem,some sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that all followersasymptotically converge to the convex hull spanned by the dynamic leaders. Finally, simulation results are presentedto illustrate the effectiveness of the conclusion.