Stability of Fractional-Order Systems with Rational Orders

By Ivo Petrás. 2008

265 citations recorded by the source corpus.

This paper deals with stability of a certain class of fractional order linear and nonlinear systems. The stability is investigated in the time domain and the frequency domain. The general stability conditions and several illustrative examples are presented as well.

Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/c793e16d86f5b68fdb2e0316f0bcf6a225cbfbf2

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In Control and Systems Engineering

1. J. Askari-Marnani
2. I. Győri
3. Jan Cermak
4. S. Ghasemi
5. Ahmadreza Tabesh
6. Luděk Nechvátal

In Modeling and Simulation

1. J. Askari-Marnani
2. I. Győri
3. Jan Cermak
4. S. Ghasemi
5. Ahmadreza Tabesh
6. Luděk Nechvátal

In Numerical Analysis

1. J. Askari-Marnani
2. I. Győri
3. Jan Cermak
4. S. Ghasemi
5. Ahmadreza Tabesh
6. Luděk Nechvátal

Citations in the corpus

• Application of Fractional Calculus Theory to Robust Controller Design for Wind Turbine Generators (2014, methodology): “3) Stability of Fractional Order Linear Systems: The stability of fractional order linear systems is investigated using Matignon’s stability theorem [18].”
• On explicit stability conditions for a linear fractional difference system (2015, background): “[21]), the Matignon criterion (Theorem 1.”