Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality
Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality
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DOI：
10.1016/j.amc.2006.08.099
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发表时间：
2007-04
期刊：
影响因子：
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通讯作者：
H. Ahn;Y. Chen;I. Podlubny
中科院分区：
文献类型：
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作者：
H. Ahn;Y. Chen;I. Podlubny
针对分数阶线性定常区间不确定系统，提出了一种新的解析鲁棒稳定性检验方法。本文是作者前期工作[YangQuan Chen，Hyo-Sung Ahn，I. Podlubny，具有区间不确定性的分数阶线性时不变系统的鲁棒稳定性检查，在：IEEE机电一体化与自动化会议论文集，尼亚加拉福尔斯，加拿大，2005年7月，pp. 210-215]，其中使用矩阵扰动理论。对于新的鲁棒稳定性检验，利用李雅普诺夫不等式求埃尔米特矩阵的最大特征值。通过数值算例，验证了新方法的实用性和有效性.
This paper provides a new analytical robust stability checking method of fractional-order linear time invariant interval uncertain system. This paper continues the authors’ previous work [YangQuan Chen, Hyo-Sung Ahn, I. Podlubny, Robust stability check of fractional-order linear time invariant systems with interval uncertainties, in: Proceedings of the IEEE Conference on Mechatronics and Automation, Niagara Falls, Canada, July, 2005, pp. 210–215] where matrix perturbation theory was used. For the new robust stability checking, Lyapunov inequality is utilized for finding the maximum eigenvalue of a Hermitian matrix. Through numerical examples, the usefulness and the effectiveness of the newly proposed method are verified.