An analytical approach based on fractional calculus and singular value theory to finite-time stability and stabilization of fractional-order singular interconnected delay systems is proposed. Particularly, we study fractional singular equations with interval time-varying delays. We first give new sufficient conditions for finite-time stability of such equations. Then, the feedback stabilizing controllers are designed via solving a tractable linear matrix inequality (LMI) and Mittag-Leffler function. Finally, numerical examples with simulations are given to illustrate the feasibility and effectiveness of the proposed results.

中文翻译：

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分数阶奇异互连时滞系统的稳定性和稳定性


提出了一种基于分数阶微积分和奇异值理论的有限时间稳定性和分数阶奇异互连时滞系统的镇定分析方法。特别是，我们研究具有区间时变延迟的分数奇异方程。我们首先为此类方程的有限时间稳定性给出新的充分条件。然后，通过求解易处理的线性矩阵不等式（LMI）和Mittag-Leffler函数设计反馈稳定控制器。最后，给出了数值算例和仿真，说明了所提结果的可行性和有效性。