Consensus of Multiagent Systems with Directed Topology and Communication Time Delay Bases on the Laplace Transform | Zendy

Bo Liu | Zendy; Li Wang | Zendy; Dehui Sun | Zendy; Xinmao Zhu | Zendy

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Consensus of Multiagent Systems with Directed Topology and Communication Time Delay Bases on the Laplace Transform

Author(s) -

Bo Liu,

Li Wang,

Dehui Sun,

Xinmao Zhu

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/437819

Subject(s) - multi agent system , network topology , topology (electrical circuits) , laplace transform , consensus , computer science , state (computer science) , aggregate (composite) , distributed computing , mathematics , algorithm , computer network , artificial intelligence , combinatorics , mathematical analysis , materials science , composite material

This paper investigates the consensus problem of multiagent systems with directed topologies. Different from the literatures, a new method, the Laplace transform, to study the consensus of multiagent systems with directed topology and communication time delay is proposed. The accurate state of the consensus center and the upper bound of the communication delay to make the agents reach consensus are given. It is proved that all the agents could aggregate and eventually form a cohesive cluster in finite time under certain conditions, and the consensus center is only determined by the initial states and the communication configuration among the agents. Finally, simulations are given to illustrate the theoretical results.

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