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Comments on “Finite-time and fixed-time stabilization: Implicit Lyapunov function approach”
Automatica ( IF 4.8 ) Pub Date : 2021-01-12 , DOI: 10.1016/j.automatica.2020.109454
David Vázquez , Jorge Álvarez

This paper explains a technical problem in the main theorem of the well-known paper “Finite-time and fixed-time stabilization: implicit Lyapunov function approach” by Polyakov et al. (2015), which makes impossible to fulfill one of its conditions for the class of disturbances therein specified, thus rendering void its supposed applicability and advantages over ordinary sliding mode methodologies.



中文翻译:

关于“有限时间和固定时间稳定:隐式Lyapunov函数方法”的评论

本文在Polyakov等人的著名论文“有限时间和固定时间稳定:隐式Lyapunov函数方法”的主定理中解释了一个技术问题。(2015年),这使得无法满足其中指定的干扰类别的条件之一,从而使其假定的适用性和相对于普通滑模方法的优势无效。

更新日期:2021-01-12
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