Synchronization in a network of identical continuous‐ or discrete‐time agents with unknown nonuniform constant input delay

Meirong Zhang (Corresponding Author), Ali Saberi, Anton A. Stoorvogel

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    21 Citations (Scopus)
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    Abstract

    This paper studies the synchronization problem for multiagent systems with identical continuous‐ or discrete‐time agents with unknown nonuniform constant input delays. The agents are connected via full‐ or partial‐state coupling. The agents are assumed to be asymptotically null controllable, ie, all eigenvalues are in the closed left‐half complex plane for continuous‐time agents or in the closed unit disc for discrete‐time agents. We derive an upper bound for the input delay tolerance, which explicitly depends on the agent dynamics. Moreover, for any unknown delay satisfying this upper bound, a low‐gain–based protocol design methodology is proposed without relying on exact knowledge of the network topology such that synchronization is achieved among agents for any network graph in a given set.
    Original languageEnglish
    Pages (from-to)3959-3973
    Number of pages15
    JournalInternational journal of robust and nonlinear control
    Volume28
    Issue number13
    Early online date9 May 2018
    DOIs
    Publication statusPublished - 17 Jul 2018

    Keywords

    • UT-Hybrid-D
    • 22/4 OA procedure

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