In this article, we are concerned with the ‐finite‐time stabilization (‐FTS) with optimal performance for the continuous‐time system. The definition of ‐FTS is first proposed. The main contribution is to give the equivalent conditions for the open‐loop solvability and sufficient conditions for the closed‐loop solvability of the ‐FTS problem with optimal performance for the finite‐time interval. Moreover, we show that the irregular optimal control problem is solvable under the ‐FTS of a specific system.

中文翻译：

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具有最佳性能的连续时间系统的有限时间稳定

在本文中，我们关注的是具有连续系统最佳性能的有限时间稳定（FTS）。FTS的定义首先被提出。主要贡献在于为FTS问题提供开环可解性的等价条件和闭环可解性的充分条件，并在有限时间间隔内具有最佳性能。此外，我们表明，在特定系统的FTS下，不规则最优控制问题是可以解决的。