Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 527039, 12 pages
Research Article

Consensusabilization for Continuous-Time High-Order Multiagent Systems with Time-Varying Delays

1College of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, China
2Control Department, Aviation University of Air Force, Changchun 130022, China

Received 6 May 2013; Revised 4 July 2013; Accepted 25 July 2013

Academic Editor: Trung Nguyen Thoi

Copyright © 2013 Huayong Zhu et al. 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.


For the consensus problems of high-order linear multiagent systems with time-varying delays in directed topologies, the LMI based-consensus criterion and NLMI-based consensusabilization (protocol parameters design that makes the multiagent systems achieve consensus) are investigated. Improved Lyapunov-Krasovskii functional is used for establishing the consensus convergence criteria and deriving the corresponding consensus protocol. In order to reduce the conservativeness, some proper free-weighting matrices are added into the derivative of Lyapunov-Krasovskii functional and that only keeps one necessary zoom. The numerical and simulation examples are given to demonstrate the effectiveness of the theoretical results. Compared with existing literatures, the convergence criterion and protocol design proposed have lower conservativeness.