Impulsive Containment Control in Nonlinear Multiagent Systems with Time-Delay

Abstract EN

The containment control problems of nonlinear multiagent systems with time-delay via impulsive algorithms under both fixed and switching topologies are studied.

By using the Lyapunov methods, several conditions are derived to achieve the containment control.

It is shown that the states of the followers can converge into the convex hull spanned by the states of the leaders if every leader has directed paths to all the followers and the impulsive period is short enough.

Finally, some simulations are conducted to verify the effectiveness of the proposed algorithms.