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Mathematical Problems in Engineering
Volume 2014, Article ID 136205, 10 pages
Research Article

Consensus Analysis of High-Order Multiagent Systems with General Topology and Asymmetric Time-Delays

School of Mathematics and Statistics, Shandong University, Weihai 264209, China

Received 4 June 2014; Accepted 22 July 2014; Published 13 August 2014

Academic Editor: Zhichun Yang

Copyright © 2014 Fangcui Jiang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper focuses on the consensus problem for high-order multiagent systems (MAS) with directed network and asymmetric time-varying time-delays. It is proved that the high-order multiagent system can reach consensus when the network topology contains a spanning tree and time-delay is bounded. The main contribution of this paper is that a Lyapunov-like design framework for the explicit selection of protocol parameters is provided. The Lyapunov-like design guarantees the robust consensus of the high-order multiagent system with respect to asymmetric time-delays and is independent of the exact knowledge of the topology when the communication linkages among agents are undirected and connected.