A new framework for consensus for discrete-time directed networks of multi-agents with distributed delays |
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Authors: | Yurong Liu Daniel WC Ho Zidong Wang |
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Affiliation: | 1. Department of Mathematics , Yangzhou University , Yangzhou 225002 , China liuyurong@gmail.com;3. Department of Mathematics , City University of Hong Kong , Hong Kong;4. Department of Information Systems and Computing , Brunel University , Uxbridge Middlesex UB8 3PH , UK |
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Abstract: | 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. |
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Keywords: | consensus discrete-time multi-agent network directed network distributed time delay invariance principle |
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