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FINITE TIME STABILITY ANALYSIS OF LINEAR AUTONOMOUS FRACTIONAL ORDER SYSTEMS WITH DELAYED STATE
Authors:MP Lazarevi&#x;  DLj Debeljkovi&#x;
Affiliation:M.P. Lazarevi?,D.Lj. Debeljkovi?
Abstract:For the first time, in this paper, a stability test procedure is proposed for linear time‐invariant fractional order systems (LTI FOS). Paper extends some basic results from the area of finite time and practical stability to linear, continuous, fractional order time invariant time‐delay systems given in state space form. Sufficient conditions of this kind of stability, for particular class of fractional time‐delay systems is derived.
Keywords:Linear analysis  stability criteria  time delay  fractional system  
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