Contents

Index

• Getting Started

• Building Uncertain Models

• Generalized Robustness Analysis

• Linear Matrix Inequalities

• Introduction to Linear Matrix Inequalities

• Linear Matrix Inequalities

• LMIs and LMI Problems

Three Generic LMI Problems

Further Mathematical Background

• Introduction

Some Terminology

Overview of the LMI Lab

• Specifying a System of LMIs

A Simple Example

Initializing the LMI System

Specifying the LMI Variables

Specifying Individual LMIs

Specifying LMIs with the LMI Editor

How It All Works

• Querying the LMI System Description

lminbr and matnbr

From Decision to Matrix Variables and Vice Versa

Validating Results

• Modifying a System of LMIs

Deleting an LMI

Deleting a Matrix Variable

Instantiating a Matrix Variable

• Advanced Topics

Structured Matrix Variables

Complex-Valued LMIs

Specifying cTx Objectives for mincx

Feasibility Radius

Well-Posedness Issues

Semi-Definite B(x) in gevp Problems

Efficiency and Complexity Issues

Solving M + PTXQ + QTXTP < 0

• Analyzing Uncertainty Effects in Simulink

• Function Reference

Block Reference

• Release Notes

Introduction to Linear Matrix Inequalities

Linear Matrix Inequalities

LMIs and LMI Problems

Further Mathematical Background

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