Comments on “Global leader-following consensus in finite time for fractional-order multi-agent systems with discontinuous inherent dynamics subject to nonlinear growth”

Despite the proposed results on the non-existing of finite time stable equilibria for fractional order systems (Shen and Lam, 2014), the commented paper (Wang et al., 2020) has shown finite time convergence of fractional order control systems via a couple of theorems. This comment demonstrates that...

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Bibliographic Details
Published inNonlinear analysis. Hybrid systems Vol. 53; p. 101497
Main Author Badri, Vahid
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2024
Subjects
Convex functions
Finite time stability
Fractional order systems
Finite time stability
Fractional order systems
Convex functions
Online AccessGet full text
ISSN1751-570X
DOI10.1016/j.nahs.2024.101497

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Summary:Despite the proposed results on the non-existing of finite time stable equilibria for fractional order systems (Shen and Lam, 2014), the commented paper (Wang et al., 2020) has shown finite time convergence of fractional order control systems via a couple of theorems. This comment demonstrates that the proofs of the given theorems in Wang et al. (2020) are incorrect.
ISSN:1751-570X
DOI:10.1016/j.nahs.2024.101497