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Nonlinear Dynamics

, Volume 94, Issue 4, pp 3145–3153 | Cite as

Comment on “Fractional-order fixed-time nonsingular terminal sliding mode synchronization and control of fractional-order chaotic systems”

  • Alireza Khanzadeh
  • Iman Mohammadzaman
Comment
  • 131 Downloads

Abstract

This comment is to point out to mistakes made in the paper (Ni et al. in Nonlinear Dyn 89:2065–2083, 2017). It is shown that the proofs of the stability of reaching and sliding phases given in the mentioned paper are not acceptable. Furthermore, the reported simulation results contradict with fractional calculus. This is evidenced by resimulating the example 1 of the paper.

Keywords

Sliding mode control Fixed-time stability Chaos synchronization Fractional-order systems 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Human participants

This paper does not contain any studies with human participants performed by any of the authors.

References

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    Miller, K.S.: An Introduction to the Fractional Calculus and Fractional Differential Equation. Wiley, London (1993)zbMATHGoogle Scholar

Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Faculty of Electrical and Computer EngineeringMalek-Ashtar University of Technology, A.C.TehranIran

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