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Zbl 1243.93081
Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil
Stability analysis of Caputo fractional-order nonlinear systems revisited. (English)
[J] Nonlinear Dyn. 67, No. 4, 2433-2439 (2012). ISSN 0924-090X; ISSN 1573-269X/e

Summary: In this paper, stability analysis of fractional-order nonlinear systems is studied. An extension of Lyapunov's direct method for fractional-order systems using Bihari's and Bellman-Gronwall's inequality and a proof of a comparison theorem for fractional-order systems are proposed.
MSC 2000:
*93D05 Lyapunov and other classical stabilities of control systems
34A08
93C10 Nonlinear control systems
26A33 Fractional derivatives and integrals (real functions)

Keywords: fractional-order nonlinear system; Lyapunov's direct method; Bihari's inequality; Bellman-Gronwall's inequality; comparison theorem

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