期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 47, 期 1, 页码 321-338出版社
SIAM PUBLICATIONS
DOI: 10.1137/080715949
关键词
fractional order system; frequency domain-based numerical method; fractional operator approximation; stability; stability boundary
资金
- Iranian National Science Foundation [86094/45]
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.
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