A note on the stability of fractional order systems

Mohammad Saleh Tavazoei and Mohammad Haeri

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 5, 1566-1576

Abstract: In this paper, a new approach is suggested to investigate stability in a family of fractional order linear time invariant systems with order between 1 and 2. The proposed method relies on finding a linear ordinary system that possesses the same stability property as the fractional order system. In this way, instead of performing the stability analysis on the fractional order systems, the analysis is converted into the domain of ordinary systems which is well established and well understood. As a useful consequence, we have extended two general tests for robust stability check of ordinary systems to fractional order systems.

Keywords: Fractional order LTI system; Stability; Robust stability; Interval systems (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (16)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:5:p:1566-1576

DOI: 10.1016/j.matcom.2008.07.003

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