Technical communique: Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies

Authors:
Peng Lin;Yingmin Jia
Affiliations:
The Seventh Research Division, Beihang University (BUAA), Beijing 100083, PR China;The Seventh Research Division, Beihang University (BUAA), Beijing 100083, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

This paper studies the consensus problem of multi-agent systems with nonuniform time-delays and dynamically changing topologies. A linear consensus protocol is introduced to realize local control strategies for these second-order discrete-time agents. By model transformations and applying the properties of nonnegative matrices, sufficient conditions are derived for state consensus of the systems. It is shown that arbitrary bounded time-delays can safely be tolerated, even though the communication structures between agents dynamically change over time and the corresponding directed graphs may not have spanning trees. Finally, a numerical example is included to illustrate the obtained results.