Stability map of multiple time delayed fractional order systems
Stability map of multiple time delayed fractional order systems
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DOI：
10.1007/s12555-012-0481-7
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发表时间：
2014-02
期刊：
影响因子：
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通讯作者：
M. Pakzad;M. Nekoui
中科院分区：
文献类型：
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作者：
M. Pakzad;M. Nekoui
本文提出了一种新的方法来研究线性分数阶多时滞系统在时滞中存在不确定性时的稳定映射。从文献中可以看出，这类动力学的稳定性问题尚未得到解决。的新方法的骨干的灵感来自于一个先进的聚类与频率扫描技术，使详尽的确定的稳定性切换曲线的延迟空间。所提出的方法准确地检测所有的稳定区域，在参数空间的时间延迟。最后给出了一个算例，验证了所提方法的有效性.
In this paper, a novel method is presented to study the stability map of linear fractional order systems with multiple delays against uncertainties in delays. It is evident from the literature that the stability question of this class of dynamics has not been resolved yet. The backbone of the new methodology is inspired by an advanced clustering with frequency sweeping technique which enables the exhaustive determination of stability switching curves in the space of the delays. The proposed method detects all the stability regions exactly, in the parametric space of the time delays. An illustrative example is presented to confirm the proposed method results.