Title :
A new approach to the stability of linear fractional systems
Author :
Trigeassou, J.C. ; Maamri, N.
Author_Institution :
Univ. of Poitiers, Poitiers
Abstract :
This paper presents a frequency method based on Nyquist´s criterion to test the stability of ordinary differential equations (ODE) and fractional differential equations (FDE). Though these differential equations are in open loop, it is possible to apply Nyquist´s criterion owing to the closed loop nature of the simulation scheme. This method also applies to systems with time delays, either in ODE or FDE form.
Keywords :
Nyquist criterion; closed loop systems; delays; linear differential equations; linear systems; open loop systems; stability; FDE; Nyquist criterion; ODE; closed loop system; fractional differential equation; frequency method; linear fractional system; open loop system; ordinary differential equation; stability; time delay; Closed loop systems; Delay effects; Delay systems; Differential equations; Frequency; Polynomials; Robust stability; Stability analysis; Stability criteria; Transfer functions;
Conference_Titel :
Systems, Signals and Devices, 2009. SSD '09. 6th International Multi-Conference on
Conference_Location :
Djerba
Print_ISBN :
978-1-4244-4345-1
Electronic_ISBN :
978-1-4244-4346-8
DOI :
10.1109/SSD.2009.4956821
