# LMIs in Control/pages/Nonconvex Multi-Criterion Quadratic Problems

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LMIs in Control/pages/Nonconvex Multi-Criterion Quadratic Problems

This is a WIP based on the template

## Contents

**The System**[edit]

The system for this LMI is a linear time invariant system that can be represented in state space as shown below:

where the system is assumed to be controllable.

**The Data**[edit]

The matrices .

**The Optimization Problem**[edit]

The following feasibility problem should be solved: Find

**The LMI:** The Lyapunov Inequality[edit]

Title and mathematical description of the LMI formulation.

**Conclusion:**[edit]

Interpretation of the results of the LMI

**Implementation**[edit]

A link to CodeOcean or other online implementation of the LMI

**Related LMIs**[edit]

Links to other closely-related LMIs

## External Links[edit]

A list of references documenting and validating the LMI.

- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
- LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes.
- LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.