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Network-based leader-following consensus for distributed multi-agent systems
journal contributionposted on 06.12.2017, 00:00 by Lei DingLei Ding, Qing-Long HanQing-Long Han, G Guo
This paper is concerned with network-based leader-following consensus for a distributed multi-agent 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.