LMIs in Control/Click here to continue/Fundamentals of Matrix and LMIs/Non Strict Projection Lemma

Introduction

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

Non Strict Projection Lemma

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Consider  ,  ,  , and  . There exists   such that:

 

if and only if

 ,

 ,

and

 

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A list of references documenting and validating the LMI.


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