DocumentCode
3468473
Title
A new approach to the stability of linear fractional systems
Author
Trigeassou, J.C. ; Maamri, N.
Author_Institution
Univ. of Poitiers, Poitiers
fYear
2009
fDate
23-26 March 2009
Firstpage
1
Lastpage
14
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/SSD.2009.4956821
Filename
4956821
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