This paper is concerned with the problem of input-output finite-time stability (IO-FTS) for a class of switched singular continuous-time systems. First, the concept of IO-FTS is extended to switched singular systems. Then, by using the average dwell time switching approach and constructing multiple Lyapunov functions, a sufficient condition of IO-FTS for the considered system is presented in the form of linear matrix inequalities (LMIs). Furthermore, based on the derived conditions, a suitable state feedback controller is designed to stabilize the switched singular systems. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed technique.

本文涉及一类切换奇异连续时间系统的输入输出有限时间稳定性（IO-FTS）问题。首先，IO-FTS的概念已扩展到交换式单一系统。然后，通过使用平均停留时间切换方法并构造多个Lyapunov函数，以线性矩阵不等式（LMI）的形式给出了所考虑系统的IO-FTS的充分条件。此外，基于导出的条件，设计合适的状态反馈控制器以稳定开关的奇异系统。最后，提供了一个示例性例子来证明所提出技术的有效性。