Article ID Journal Published Year Pages File Type
1140172 Mathematics and Computers in Simulation 2009 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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