This study analyzes the problem of robust stability of fractional-order delay systems of neutral type under actuator saturation. A Lyapunov-Krasovskii (LK) function is constructed and conditions of the asymptotic robust stability of such systems are given, which are formulated by linear matrix inequalities (LMIs), using the Lyapunov direct method. An algorithm is introduced to compute the gain of the state feedback controller for extending the domain of attraction. The theoretical results are validated using some numerical examples.

中文翻译：

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具有致动器饱和的不确定分数阶中性延迟系统的稳定性分析

本研究分析了执行器饱和下中性型分数阶延迟系统的鲁棒稳定性问题。构造了Lyapunov-Krasovskii (LK) 函数，并给出了此类系统渐近鲁棒稳定性的条件，这些条件由线性矩阵不等式(LMIs) 使用Lyapunov 直接方法表示。引入了一种算法来计算状态反馈控制器的增益以扩展吸引力域。使用一些数值例子验证了理论结果。