Stability Preservation Analysis for Frequency-Based Methods in Numerical Simulation of Fractional Order Systems

Authors:
Mohammad Saleh Tavazoei;Mohammad Haeri;Sadegh Bolouki;Milad Siami
Affiliations:
m_tavazoei@ee.sharif.edu and haeri@sina.sharif.edu and bolouki@ee.sharif.edu and siami@ee.sharif.edu;-;-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2008

Citing 0
Cited 5

Brief paper: A proof for non existence of periodic solutions in time invariant fractional order systems

Automatica (Journal of IFAC)
Comments on "stability analysis of a class of nonlinear fractional-order systems"

IEEE Transactions on Circuits and Systems II: Express Briefs
Brief paper: Rational approximations in the simulation and implementation of fractional-order dynamics: A descriptor system approach

Automatica (Journal of IFAC)
Stability preservation analysis in direct discretization of fractional order transfer functions

Signal Processing
Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.01

Visualization

Abstract

In this paper, the frequency domain-based numerical methods for simulation of fractional order systems are studied in the sense of stability preservation. First, the stability boundary curve is exactly determined for these methods. Then, this boundary is analyzed and compared with an accurate (ideal) boundary in different frequency ranges. Also, the critical regions in which the stability does not preserve are determined. Finally, the analytical achievements are confirmed via some numerical illustrations.