This article addresses the stability of uncertain fractional order systems of neutral type under actuator saturation. Some criteria regarding the asymptotic robust stability of such type of systems are constructed with the help of the Lyapunov–Krasovskii functional. Moreover, a state-feedback control law is formulated by means of linear matrix inequalities. In order to analyze the domain of attraction, an algorithm for determining the controller gain is provided via the cone complementarity linearization method. The main results are illustrated via numerical examples.

中文翻译：

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基于LMI的执行器饱和下具有时变时滞的分数阶中立型分数阶系统的稳定性分析

本文讨论了执行器饱和情况下中性型不确定分数阶系统的稳定性。在Lyapunov–Krasovskii函数的帮助下，构造了有关此类系统的渐近鲁棒稳定性的一些准则。此外，状态反馈控制定律是通过线性矩阵不等式制定的。为了分析吸引域，通过圆锥互补线性化方法提供了一种用于确定控制器增益的算法。通过数值例子说明了主要结果。