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Stability analysis of Caputo fractional-order nonlinear systems revisited

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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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Authors and Affiliations

  1. Department of Electrical Engineering, Hamedan University of Technology, Hamedan, 65155, Iran

    Hadi Delavari

  2. Faculty of Arts and Sciences, Department of Mathematics and Computer Science and Institute of Space Sciences, Çankaya University, P.O. Box MG-23, 76900, Magurele-Bucharest, Romania

    Dumitru Baleanu

  3. Faculty of Electrical and Computer Engineering, Babol University of Technology, P.O. Box 47135-484, Babol, Iran

    Jalil Sadati

Authors
  1. Hadi Delavari
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  2. Dumitru Baleanu
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  3. Jalil Sadati
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Correspondence to Dumitru Baleanu.

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

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  • DOI: https://doi.org/10.1007/s11071-011-0157-5

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