411 REFERENCE · Wikibooks
LMIs in Control/Matrix and LMI Properties and Tools/Young’s Relation-Based Properties
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
Young’s Relation-Based Properties
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 Links
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.
LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.
LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes. (2.4.1 page 23)
<noinclude>