Output global finite-time stability of locally Lipschitz continuous autonomous systems is characterized by means of smooth Lyapunov functions. The so-called output-Lagrange stable systems are studied with details. Influence of a kind of continuity of the settling-time function is considered. Necessary and sufficient conditions of output finite-time stability are presented. The theoretical results are supported by academic examples and numerical simulations.

中文翻译：

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在满足输出有限时稳定性的必要和充分条件下

本地Lipschitz连续自治系统的输出全局有限时间稳定性通过平滑Lyapunov函数来表征。详细研究了所谓的输出-拉格朗日稳定系统。考虑建立时间函数的一种连续性的影响。给出了输出有限时间稳定性的充要条件。理论结果得到学术实例和数值模拟的支持。