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A new framework for consensus for discrete-time directed networks of multi-agents with distributed delays. (English) Zbl 1253.93081
Summary: In this article, the distributed consensus problem is considered for discrete-time delayed networks of dynamic agents with fixed topologies, where the networks under investigation are directed and the time delays involved are distributed time delays including a single or multiple time delay(s) as special cases. By using the invariance principle of delay difference systems, a new unified framework is established to deal with the consensus for the discrete-time delayed multi-agent system. It is shown that the addressed discrete-time network with arbitrary distributed time delays reaches consensus provided that it is strongly connected. A numerical example is presented to illustrate the proposed methods.
MSC:
93C55Discrete-time control systems
93A14Decentralized systems
68T42Agent technology (AI aspects)