Stability analysis with integral quadratic constraints: A dissipativity based proof

被引：0

作者：

Veenman, Joost ^{[1
]}

Scherer, Carsten W. ^{[1
]}

机构：

[1] Univ Stuttgart, Dept Math, Stuttgart, Germany

来源：

2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2013年

关键词：

DYNAMICAL-SYSTEMS; ROBUSTNESS;

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：

In this paper we formulate a dissipativity based proof of the well-known integral quadratic constraint (IQC) theorem under mild assumptions. For general dynamic (frequency dependent) IQC-multipliers it is shown that, once the conditions of the IQC-theorem are satisfied, it is possible to construct a nonnegative Lyapunov function that satisfies a dissipation inequality. This not only shows that IQCs can be interpreted as dynamic supply functions, but also opens the way to merge frequency-domain techniques with time-domain conditions known from Lyapunov-theory.

引用

页码：3770 / 3775

页数：6

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