Journal
AUTOMATICA
Volume 49, Issue 7, Pages 2281-2286Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2013.04.021
Keywords
Leader-following consensus; Network-based consensus; Distributed multi-agent systems; Stability; Interval time-varying delays
Funding
- Australian Research Council [DP1096780]
- Research Advancement Awards Scheme Program at Central Queensland University, Australia
- Natural Science Foundation of China [61273107, 61174060]
- Dalian Leading Talent Project, Dalian [2012Z0036]
- Fundamental Research Funds for the Central Universities, China [3132013334]
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This paper is concerned with network-based leader-following consensus for a distributed multiagent system. A network-based consensus control protocol under a directed graph is proposed. With this protocol, each agent in the distributed multi-agent system can be remotely controlled via a communication network. A new delay-dependent stability criterion for an error system is derived by constructing a novel Lyapunov-Krasovskii functional with digraph information. Then, employing this stability criterion, a delay-dependent sufficient condition for the existence of network-based consensus controllers, which ensure that the following-agent's states can reach an agreement on the leader's state, is formulated in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the obtained results. (C) 2013 Elsevier Ltd. All rights reserved.
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