411 REFERENCE · Wikibooks
LMIs in Control/Tools/Elimination of Variables/Variable Elimination in a Partition Matrix
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
WIP, Description in progress
Two basic lemmas treat the elimination of variables in a partitioned matrix.
Lemma 1
Consider the matricies , , be symmetric. Then, there exists a symmetric matrix such that
if and only if
.
Lemma 2
Let , , be given matrices of appropriate dimensions. Then there exists a matrix such that
if and only if
,
In this case, is given by
.
WIP, additional references to be added
External Links
A list of references documenting and validating the LMI.
- LMI in Control Systems Analysis, Design and Applications
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