关于闵可夫斯基球的clf的通用公式

Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251) Pub Date : 1999-12-01 DOI:10.1109/ACC.1999.782318

Michael A. Malisoff, Eduardo Sontag

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引用次数: 14

摘要

本文给出了当控制被限制于欧几里德空间中的某些Minkowski球时，控制Lyapunov函数的显式代数稳定公式。Artstein(1995)的一个定理已知这种反馈是存在的，但是Artstein定理的证明是非建设性的。这些公式被用来构造一些稳定问题的近似解。

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Universal formulas for CLFs with respect to Minkowski balls

This note provides explicit, algebraic stabilizing formulas for control Lyapunov functions when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein (1995), but the proof of Artstein's theorem is nonconstructive. The formulas are used to construct approximation solutions to some stabilization problems.

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Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)

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