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Stability analysis of Caputo fractional-order nonlinear systems revisited

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Date

2012

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Springer

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Abstract

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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Fractional-Order Nonlinear System, Lyapunov Direct Method, Bihari's Inequality, Bellman-Gronwall's Inequality, Comparison Theorem

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Citation

Delavari, H., Baleanu, D., Sadati, J. (2012). Stability analysis of Caputo fractional-order nonlinear systems revisited. Nonlinear Dynamics, 67(4), 2433-2439. http://dx.doi.org/10.1007/s11071-011-0157-5

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Source

Nonlinear Dynamics

Volume

67

Issue

4

Start Page

2433

End Page

2439