User:Margav06/sandbox/Click here to continue/Fundamentals of Matrix and LMIs/Concatenation of LMIs
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Introduction
[edit | edit source]Matrix concatenation is the process of joining one or more matrices to make a new matrix. This process is similar for concatenating the LMIs as well.
Concatenation of LMIs
[edit | edit source]A useful property of LMIs is that multiple LMIs can be concatenated together to form a single LMI. For example, satisfying the LMIs
and,
is equivalent to satisfying the concatenated LMI:
,
More generally, satisfying the LMIs , where is equivalent to satisfying the concatenated LMI:
,
External Links
[edit | edit source]A list of references documenting and validating the LMI.