Second-Order Leader-Following Consensus of Multiagent Systems with Time Delays

Hong Xia, Ting-Zhu Huang, Jin-Liang Shao and Jun-Yan Yu

Mathematical Problems in Engineering, 2013, vol. 2013, 1-8

Abstract:

This paper is concerned with a leader-following consensus problem of second-order multiagent systems with a constant acceleration leader and time-varying delays. At first, a distributed control protocol for every agent to track the leader is proposed; then by utilizing the Lyapunov-Razumikhin function, the convergence analysis under both fixed and switching interconnection topologies is investigated. For the case of fixed topology, a sufficient and necessary condition is obtained, and for the case of switching topology, a sufficient condition is derived under some assumptions. Finally, simulation examples are provided to demonstrate the effectiveness of the theoretical results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:505434

DOI: 10.1155/2013/505434

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