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Zbl 1155.93312
Xiao, Feng; Wang, Long
Consensus protocols for discrete-time multi-agent systems with time-varying delays. (English)
[J] Automatica 44, No. 10, 2577-2582 (2008). ISSN 0005-1098

Summary: This paper addresses consensus problems for discrete-time multi-agent systems with time-varying delays and switching interaction topologies and provides a class of effective consensus protocols that are built on repeatedly using the same state information at two time-steps. We show that those protocols can solve consensus problems under milder conditions than the popular consensus algorithm proposed by Jadbabaie et al., specifically, the presented protocols allow for the case that agents can only use delayed information of themselves, whereas the popular one is invalid. It is proved that if the union of the interaction topologies across the time interval with some given length always has a spanning tree, then in the presence of bounded time-varying delays, those protocols solve consensus problems.

MSC 2000:: *93A14 Decentralized systems
93C55 Discrete-time control systems
93C85 Automated control systems

Keywords: multi-agent systems; coordination; consensus protocols; switching topologies; time-varying delays

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