Title :
A frequency approach to analyze the stability of Fractional Differential Equations with Time Delays
Author :
Maamri, N. ; Trigeassou, J.-C. ; Mehdi, D.
Author_Institution :
Lab. d´Autom. et d´Inf. Ind., Univ. of Poitiers, Poitiers, France
Abstract :
This paper presents the generalization of a frequency method based on the Nyquist´s Criterion to test the stability of Fractional Derivative Equations (FDE) with Time Delays. Thanks to the general model of the FDEs, this method also applies to Ordinary Differential Equations (ODE) with Time Delays, which represent a particular case of FDEs.
Keywords :
Nyquist criterion; delays; differential equations; stability; FDE; Nyquist criterion; ODE; fractional derivative equations; frequency method generalization; ordinary differential equations; stability analysis; stability test; time delays; Delay effects; Mathematical model; Numerical stability; Stability criteria; Time-frequency analysis; Transfer functions;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
