ABSTRACT This paper is concerned with the finite-time stability (FTS) of nonautonomous nonlinear systems. Firstly, a new definition of FTS for nonautonomous nonlinear systems is introduced. Then some sufficient conditions on FTS for nonautonomous nonlinear systems are established based on Lyapunov function. Furthermore, the conditions are shown to be necessary and sufficient for linear time-varying systems. Finally, several numerical examples are given to illustrate our results.

中文翻译：

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关于非自治非线性系统的有限时间稳定性

摘要 本文涉及非自治非线性系统的有限时间稳定性 (FTS)。首先，介绍了非自治非线性系统的 FTS 的新定义。然后基于Lyapunov函数建立了非自治非线性系统FTS的一些充分条件。此外，这些条件被证明对于线性时变系统是必要和充分的。最后，给出了几个数值例子来说明我们的结果。