Name
Title | ||
|---|---|---|
Stability Preservation Analysis for Frequency-Based Methods in Numerical Simulation of Fractional Order Systems |
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. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/080715949 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
fractional order system,analytical achievement,numerical method,frequency-based methods,stability preservation,different frequency range,stability boundary curve,fractional order systems,numerical illustration,numerical simulation,critical region,stability preservation analysis,stability | Frequency domain,Computer simulation,Mathematical analysis,Fractional-order system,Critical regions,Numerical analysis,Mathematics,Numerical stability | Journal |
Volume | Issue | ISSN |
47 | 1 | 0036-1429 |
Citations | PageRank | References |
9 | 1.57 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohammad Saleh Tavazoei | 1 | 271 | 37.63 |
| Mohammad Haeri | 2 | 269 | 36.06 |
| Sadegh Bolouki | 3 | 18 | 6.92 |
| Milad Siami | 4 | 122 | 15.65 |