有限时间稳定性为何如此特殊:算子范数与多元特征值背后的问题

2020 39th Chinese Control Conference (CCC) Pub Date : 2020-07-01 DOI:10.23919/CCC50068.2020.9188705

Lusheng Yao

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引用次数: 0

摘要

研究了一类单时滞线性系统的有限时间稳定性问题。导出了一组等价于定义的条件。这些条件以连续多元特征值问题或Karush-Kuhn-Tucker条件的形式存在。利用这些条件，可以对线性时滞系统的有限时间稳定性进行数值检验。给出了一个数值例子来说明这些条件的可能性。

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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Why Finite-Time Stability is So Special: Operator Norm and Multivariate Eigenvalue Problem Behind the Curtain

In this paper, the problem of finite-time stability of linear systems with single delay is considered. A set of conditions equivalent to the definition are derived. These conditions are in the form of continuous multivariate eigenvalue problem or Karush–Kuhn–Tucker conditions. By these conditions, finite-time stability of linear time delay system can be checked numerically. A numerical example is given to illustrate the potentialities of these conditions.

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2020 39th Chinese Control Conference (CCC)

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