This study addresses the problems of finite-time simultaneous stabilization for two nonlinear singular systems and more than two nonlinear singular systems. First, we design a suitable output feedback controller and combine the two nonlinear singular systems to generate an augmented system by using an augmented technique. Based on a sufficient condition of the augmented system impulse-free, an important result, that is, the augmented system is finite-time stabilization is presented. Then, the finite-time stabilization problem of more than two singular systems is investigated by dividing the N systems into two sets. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed finite-time stabilization controller for two nonlinear singular systems.

中文翻译：

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一组非线性奇异系统的有限时间同时稳定

本研究解决了两个非线性奇异系统和两个以上非线性奇异系统的有限时间同时镇定问题。首先，我们设计了一个合适的输出反馈控制器，并通过使用增强技术将两个非线性奇异系统组合起来生成一个增强系统。基于增广系统无冲激的充分条件，给出了一个重要的结果，即增广系统是有限时间镇定的。然后，通过将N个系统分成两组来研究多于两个奇异系统的有限时间镇定问题。最后，提供了一个数值例子来证明所提出的有限时间稳定控制器对两个非线性奇异系统的有效性。