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Comments on “Design of Controllers with Arbitrary Convergence Time” [Automatica 112 (2020) 108710]
Automatica ( IF 6.4 ) Pub Date : 2022-06-09 , DOI: 10.1016/j.automatica.2022.110429
Yury Orlov , Miroslav Krstic

The notion of “free-will arbitrary time stability” of (Pal et al. (2020), Definition 4) is ill-posed. The proof of the paper’s central result (Pal et al. (2020), Theorem 2) is incomplete. The arbitrary time stability concept (Pal et al. (2020), Definition 3) is implied by prescribed-time stabilization by Song et al. (2017). Additionally, Theorem 1 by Pal et al. (2020) is obtained by a logarithmic change of the Lyapunov function from (Song et al. (2017), Corollary 1).



中文翻译:

关于“任意收敛时间的控制器设计”的评论 [Automatica 112 (2020) 108710]

(Pal 等人(2020),定义 4)的“自由意志任意时间稳定性”的概念是不适定的。论文中心结果(Pal et al. (2020), Theorem 2)的证明是不完整的。Song 等人的规定时间稳定性暗示了任意时间稳定性概念(Pal 等人(2020),定义 3)。(2017)。此外,Pal 等人的定理 1。(2020) 是通过来自 (Song et al. (2017), Corollary 1) 的 Lyapunov 函数的对数变化获得的。

更新日期:2022-06-09
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