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In this paper, we present a practical Mittag Leffler stability for fractional-order nonlinear systems depending on a parameter. A sufficient condition on practical Mittag Leffler stability is given by using a Lyapunov function. In addition, we study the problem of stability and stabilization for some classes of fractional-order systems.
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참고문헌 (31)
참고문헌 신청
B. Ben Hamed / 2013 / Stability of nonlinear time-varying perturbed differential equations / Nonlinear Dynam 73(3):1353~1365
A. Ben Makhlouf / 2015 / The convergence relation between ordinary and delay-integro-differential equations / Int. J. Dyn. Syst. Differ. Equ 5(3):236~247
S. Burov / 2008 / Fractional Langevin equation: overdamped, underdamped, and critical behaviors / Phys. Rev 78(3):18
L. Chen / 2014 / New results on stability and stabilization of a class of nonlinear fractional-order systems / Nonlinear Dynam 75(4):633~641
Liping Chen / 2014 / Robust Finite Time Stability of Fractional-order Linear Delayed Systems with Nonlinear Perturbations / International Journal of Control, Automation, and Systems 12(3):697~702
A. Ben Makhlouf / 2015 / The convergence relation between ordinary and delay-integro-differential equations / Int. J. Dyn. Syst. Differ. Equ 5(3):236~247
S. Burov / 2008 / Fractional Langevin equation: overdamped, underdamped, and critical behaviors / Phys. Rev 78(3):18
L. Chen / 2014 / New results on stability and stabilization of a class of nonlinear fractional-order systems / Nonlinear Dynam 75(4):633~641
Liping Chen / 2014 / Robust Finite Time Stability of Fractional-order Linear Delayed Systems with Nonlinear Perturbations / International Journal of Control, Automation, and Systems 12(3):697~702
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