具有时滞的Riemann-Liouville分数阶奇异系统的稳定性分析

Erdal Korkmaz, M. Kaya
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摘要

本文研究了两个滞后分数阶奇异中立型微分方程。利用黎曼-刘维尔导数的关联性质,计算相应的李雅普诺夫函数的导数。然后,利用LMI得到了零解渐近稳定的充分条件。
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On Stability Analysis of Riemann-Liouville Fractional Singular Systems with Delays
In this study, two lagged fractional order singular neutral differential equations are considered. Using the advantage of the association property of the Riemann -Liouville derivative, the derivative of the appropriate Lyapunov function is calculated. Then, with the help of LMI, sufficient conditions for asymptotic stability of zero solutions are obtained.
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