An explicit solution to the generalized Lyapunov matrix inequality

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2024-08-21 DOI:10.1016/j.sysconle.2024.105905

Mario Spirito, Daniele Astolfi

引用次数: 0

Abstract

We review the generalized Lyapunov matrix inequality for continuous-time systems and we provide a solution based on a modification of the Jordan normal form. The proposed construction allows to obtain explicit bounds to the decay rate and the inertia of the solution to the generalized Lyapunov matrix inequality.

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广义李雅普诺夫矩阵不等式的明确解法

我们回顾了连续时间系统的广义 Lyapunov 矩阵不等式，并提供了基于约旦正则表达式修正的解决方案。通过所提出的构造，我们可以获得广义 Lyapunov 矩阵不等式解的衰减率和惯性的明确界限。

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

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.