Comments on "control of a class of fractional-order chaotic systems via sliding mode" : (Nonlinear Dyn. (2011). doi:10.1007/s11071-011-0002-x)

Nonlinear Dynamics

Volumn 67, Issue 1, 2012, Pages 903-908

  Aghababa, Mohammad Pourmahmood ^a  

^a URMIA UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Fractional Lyapunov theorem; Fractional order calculus; Sliding mode dynamics

Indexed keywords

FRACTIONAL-ORDER CALCULUS; FRACTIONAL-ORDER CHAOTIC SYSTEMS; LYAPUNOV THEOREMS; SLIDING MODE DYNAMICS; SLIDING MODES;

DYNAMICS; MECHANICAL ENGINEERING;

CHAOTIC SYSTEMS;

EID: 82255162694     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0218-9     Document Type: Review

References (5)

1. D.-y. Chen Y.-x. Liu X.-y. Ma R.-f. Zhang 2011 Control of a class of fractional-order chaotic systems via sliding mode Nonlinear Dyn. 10.1007/s11071-011-0002-x
2. Y. Li Y.Q. Chen I. Podlubny 2009 Mittag-Leffler stability of fractional order nonlinear dynamic systems Automatica 45 1965 1969 1185.93062 10.1016/j.automatica.2009.04.003
3. Y. Li Y.Q. Chen I. Podlubny 2010 Stability of fractional order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability Comput. Math. Appl. 59 1810 1821 2595955 1189.34015 10.1016/j.camwa.2009.08.019
4. Utkin, V.I.: Sliding Modes in Control Optimization. Springer, Berlin (1992)
5. Slotine, J., Li, W.: Applied Nonlinear Control. Prentice-Hall, Englewood Cliffs (1991)