ISS和iISS切换系统的公共Lyapunov三元组的存在性

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) Pub Date : 2000-12-12 DOI:10.1109/CDC.2000.912247

J. L. Mancilla-Aguilar, R. García

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引用次数: 9

摘要

本文给出了输入到状态(ISS)和积分输入到状态(iISS)切换非线性系统的逆李雅普诺夫定理。他们的证明基于现有的用于输入-输出-状态稳定性和iISS非线性系统的逆李雅普诺夫定理，以及切换系统与非线性系统的关联，该非线性系统的输入和扰动取紧集中的值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the existence of common Lyapunov triples for ISS and iISS switched systems

We present converse Lyapunov theorems for input-to-state (ISS) and integral ISS (iISS) switched nonlinear systems. Their proofs are based on existing converse Lyapunov theorems for input-output-to-state stability and iISS nonlinear systems, and on the association of the switched system with a nonlinear system with inputs and disturbances that take values in a compact set.

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Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)

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