The Zames-Falb IQC for systems with integrators

被引：19

作者：

Jönsson, U ^{[1
]}

Megretski, A ^{[1
]}

机构：

[1] MIT, LIDS, Cambridge, MA 02139 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2000年 / 45卷 / 03期

关键词：

integral quadratic constraints (IQC); stability; unbounded operators;

D O I：

10.1109/9.847744

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 [计算机科学与技术];

摘要：

A feedback interconnection of a neutrally stable, linear time-invariant system and a nonlinearity with 0 less than or equal to x phi(x) less than or equal to kx(2) is called critical because the worst case linearization is at best neutrally stable. This characteristic makes the stability analysis of such systems particularly hard. It will be shown that an integrator and a sector bounded nonlinearity can be encapsulated in a bounded operator that satisfies several useful integral quadratic constraints, which gives powerful tools for stability analysis of a general class of critically stable systems.

引用

页码：560 / 565

页数：6