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Science in China Series F-Information Sciences, Volume 50 , Issue 4 : 625-635(2007) https://doi.org/10.1007/s11432-007-0044-3

A new approach to consensus problems in discrete-time multiagent systems with time-delays

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  • AcceptedJul 20, 2007
  • PublishedAug 20, 2007

Abstract

In this paper, consensus problems in discrete-time multiagent systems with time-invariant delays are considered. In order to characterize the structures of communication topologies, the concept of ``pre-leader-follower" decomposition is introduced. Then, a necessary and sufficient condition for state consensus is established. By this method, consensus problems in networks with a single time-delay, as well as with multiple time-delays, are studied, and some necessary and sufficient conditions for solvability of consensus problems are obtained.

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