In this paper, second-order multi-agent systems with intentionally induced delay are studied, which cannot achieve consensus with a non-delay position-based protocol. Under the proposed distributed protocol with the current and outdated position states, the crossing frequencies and crossing delays of the related quasipolynomial of the delayed systems are identified. By determining the crossing directions of the imaginary roots, the change of the number of the right half-plane roots can be obtained. Accordingly, consensus condition and consensus delay range are provided. Simulations illustrate the effectiveness of the theoretical analysis.(c) 2022 Elsevier Ltd. All rights reserved.
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ABDALLAH C, 1993, PROCEEDINGS OF THE 1993 AMERICAN CONTROL CONFERENCE, VOLS 1-3, P3106
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Univ Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
Univ Paris Sud, CNRS, Cent Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, FranceUniv Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
Jin, Chi
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Gu, Keqin
Boussaada, Islam
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Univ Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
Univ Paris Sud, CNRS, Cent Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, FranceUniv Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
Boussaada, Islam
Niculescu, Silviu-Iulian
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Univ Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
Univ Paris Sud, CNRS, Cent Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, FranceUniv Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
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Univ Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
Univ Paris Sud, CNRS, Cent Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, FranceUniv Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
Jin, Chi
Gu, Keqin
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Southern Illinois Univ Edwardsville, Dept Mech & Ind Engn, Edwardsville, IL 62026 USAUniv Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
Gu, Keqin
Boussaada, Islam
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Univ Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
Univ Paris Sud, CNRS, Cent Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, FranceUniv Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
Boussaada, Islam
Niculescu, Silviu-Iulian
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Univ Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France
Univ Paris Sud, CNRS, Cent Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, FranceUniv Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France