A stability test for non-commensurate fractional order systems

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• 作者：Jocelyn Sabatier ; Christophe Farges ; Jean-Claude Trigeassou
• 关键词：Non-commensurate fractional order systems ; Stability ; Cauchy&rsquo ; s theorem
• 刊名：Systems and Control Letters
• 出版年：2013
• 出版时间：September, 2013
• 年：2013
• 卷：62
• 期：9
• 页码：739-746
• 全文大小：628 K

文摘

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.