title: Leader-following consensus of the second-order multi-agent systems under directed topology.
abstract: This paper investigates the consensus problem for second-order multi-agent systems with a dynamical leader. A simple and novel protocol based on the relative state of the neighboring agents is proposed. Using the linear matrix inequality method, sufficient conditions are derived to ensure the consensus for both the cases without and with communication delay in the multi-agent systems. Some numerical simulations are also given to show the effectiveness of the proposed results.
authors: College of Mathematics and Physics, China University of Geosciences, Wuhan 430074, PR China.
authors: Wanli
authors: W
authors: Guo
keywords: Directed topology; Leader-following consensus problem; Second-order multi-agent systems; Time delay