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On stability of commensurate fractional systems

Abstract : This paper proposes a new proof of the Matignon's stability theorem extended to fractional orders nu such that 1 < nu < 2 . This proof is based on a closed loop realization of the system modes and the application of the Nyquist theorem.
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Contributor : Christophe Farges <>
Submitted on : Thursday, November 4, 2010 - 4:53:46 PM
Last modification on : Thursday, January 11, 2018 - 6:21:07 AM


  • HAL Id : hal-00532908, version 1


Jocelyn Sabatier, Christophe Farges. On stability of commensurate fractional systems. IFAC Workshop on Fractional Differentiation and Its Applications 2010 (FDA'10), Oct 2010, Badajoz, Spain. ⟨hal-00532908⟩



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