LMIs in Control/Matrix and LMI Properties and Tools/Young’s Relation-Based Properties

Young’s Relation-Based PropertiesEdit

1. Consider  ,  and  . The matrix inequality given by

 
is satisfied if and only if there exist  ,  , , , , and  , where  
and  , such that
  and  

2. Consider  ,  and  , where   is full rank and  . The matrix inequality given by

 
is satisfied if there exist   such that
 

External LinksEdit

A list of references documenting and validating the LMI.