4.7 Article

Stability analysis of Caputo fractional-order nonlinear systems revisited

Journal

NONLINEAR DYNAMICS
Volume 67, Issue 4, Pages 2433-2439

Publisher

SPRINGER
DOI: 10.1007/s11071-011-0157-5

Keywords

Fractional-order nonlinear system; Lyapunov direct method; Bihari's inequality; Bellman-Gronwall's inequality; Comparison theorem

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In this paper stability analysis of fractional-order nonlinear systems is studied. An extension of Lyapunov direct method for fractional-order systems using Bihari's and Bellman-Gronwall's inequality and a proof of comparison theorem for fractional-order systems are proposed.

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