# LMIs in Control/Matrix and LMI Properties and Tools/Non Strict Projection Lemma

## IntroductionEdit

Projection Lemma is also known as Matrix Elimination Lemma. Strict Projection Lemma is one of the characteristics of the Projection Lemma.

## Non Strict Projection LemmaEdit

Consider , , , and , where and is linear;y independent. There exists such that:

if and only if,

,

,

where and .

## External LinksEdit

A list of references documenting and validating the LMI.