Aghababa, Mohammad Pourmahmood Comments on “Design of sliding mode controller for a class of fractional-order chaotic systems” [Commun nonlinear sci numer simulat 17 (2012) 356-366]. (English) Zbl 1248.93037 Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1485-1488 (2012). Summary: Some comments on the paper C. Yin, S. M. Zhong, and W. F. Chen [”Design of sliding mode controller for a class of fractional-order chaotic systems”, Commun. Nonlinear Sci. Numer. Simulat. 17, 356-366 (2012, Zbl 1248.93041)] are pointed out in this note. Besides, recently developed fractional-order Lyapunov stability theorems are used to prove the finite-time occurrence of the sliding motion. Cited in 1 ReviewCited in 4 Documents MSC: 93B12 Variable structure systems 26A33 Fractional derivatives and integrals 34A08 Fractional ordinary differential equations 37N35 Dynamical systems in control Keywords:fractional-order system; sliding mode; chaotic system; fractional Lyapunov stability Citations:Zbl 1248.93041 PDFBibTeX XMLCite \textit{M. P. Aghababa}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1485--1488 (2012; Zbl 1248.93037) Full Text: DOI References: [1] Yin, C.; Zhong, S.-M.; Chen, W.-F., Design of sliding mode controller for a class of fractional-order chaotic systems, Commun Nonlinear Sci Numer Simulat, 17, 356-366 (2012) · Zbl 1248.93041 [2] Li, Y.; Chen, Y. Q.; Podlubny, I., Mittag-Leffler stability of fractional order nonlinear dynamic systems, Automatica, 45, 1965-1969 (2009) · Zbl 1185.93062 [3] Li, Y.; Chen, Y. Q.; Podlubny, I., Stability of fractional order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability, Comput Math Appl, 59, 1810-1821 (2010) · Zbl 1189.34015 [4] Utkin, V. I., Sliding modes in control optimization (1992), Springer Verlag: Springer Verlag Berlin · Zbl 0748.93044 [5] Matignon D. Stability results for fractional differential equations with applications to control processing. In: Computational engineering in systems and application multiconference, IMACS, IEEE-SMC proceedings, Lille, France; 1996. p. 963-8.; Matignon D. Stability results for fractional differential equations with applications to control processing. In: Computational engineering in systems and application multiconference, IMACS, IEEE-SMC proceedings, Lille, France; 1996. p. 963-8. [6] Polyakov, A.; Poznyak, A., Lyapunov function design for finite-time convergence analysis: twisting controller for second-order sliding mode realization, Automatica, 45, 444-448 (2009) · Zbl 1158.93401 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.