A Matrix Sign Function Framework for Robust Stability Analysis and Parameter-dependent Lyapunov and Riccati Equalities

被引：0

作者：

Guerra, Jeremie ^{[1
]}

Yagoubi, Mohamed ^{[1
]}

Chevrel, Philippe ^{[1
]}

机构：

[1] LUNAM Univ, EMN, IRCCyN, CNRS,UMR 6597,Inst Rech Commun & Cybernet Nantes, F-44307 Nantes, France

来源：

2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2012年

关键词：

PERFORMANCE ANALYSIS; SYSTEMS; EQUATIONS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a new framework to deal with robust stability analysis for time-invariant parameter-dependent systems. It hinges upon two results: -the matrix sign function integral definition. -A particular representation of parameter-dependent matrices with negative and positive power series with respect to parameters. Exact solutions to parameter-dependent Lyapunov and Riccati equalities are derived. Several didactic examples are given throughout the paper to prove the validity of the proposed results.

引用

页码：3490 / 3495

页数：6

共 26 条

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