A stability test for non-commensurate fractional order systems

Abstract : This paper presents a necessary and sufficient condition to evaluate non-commensurate fractional order systems Bounded Input, Bounded Output stability. This condition is based on an algorithm that relies on a recursively defined closed-loop realization of the system and involves Cauchy's theorem. Its efficiency is attested by several numerical examples.
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Submitted on : Wednesday, June 26, 2013 - 3:23:11 PM
Last modification on : Thursday, January 11, 2018 - 6:27:11 AM

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Jocelyn Sabatier, Christophe Farges, Jean-Claude Trigeassou. A stability test for non-commensurate fractional order systems. Systems and Control Letters, Elsevier, 2013, 62, pp.739-746. ⟨10.1016/j.sysconle.2013.04.008⟩. ⟨hal-00838778⟩

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