A note on the stability of fractional order systems

A note on the stability of fractional order systems

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Article ID: iaor201527007
Volume: 79
Issue: 5
Start Page Number: 1566
End Page Number: 1576
Publication Date: Jan 2009
Journal: Mathematics and Computers in Simulation
Authors: ,
Keywords: fractional differential equations, stability
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.

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