Exponential input-to-state stability for Lur’e systems via Integral Quadratic Constraints and Zames–Falb multipliers

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2024-02-05 DOI:10.1093/imamci/dnae003

Ross Drummond, Chris Guiver, Matthew C Turner

引用次数: 0

Abstract

Absolute stability criteria that are sufficient for global exponential stability are shown, under a Lipschitz assumption, to be sufficient for the a priori stronger exponential input-to-state stability property. Important corollaries of this result are as follows: (i) absolute stability results obtained using Zames–Falb multipliers for systems containing slope-restricted nonlinearities provide exponential input-to-state-stability under a mild detectability assumption; and (ii) more generally, many absolute stability results obtained via Integral Quadratic Constraint methods provide, with the additional Lipschitz assumption, this stronger property.

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通过积分二次约束和 Zames-Falb 乘数实现 Lur'e 系统的指数输入到状态稳定性

在 Lipschitz 假设下，对全局指数稳定性来说足够的绝对稳定性标准被证明对更强的先验指数输入到状态稳定性特性来说也足够了。这一结果的重要推论如下：(i) 对于包含斜率受限非线性的系统，使用 Zames-Falb 乘法器得到的绝对稳定性结果在温和的可探测性假设下提供了指数输入到状态稳定性；以及 (ii) 更一般地说，通过积分二次约束方法得到的许多绝对稳定性结果在额外的 Lipschitz 假设下提供了这种更强的性质。

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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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

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