LMIs in Control/Matrix and LMI Properties and Tools/Concatenation Of Matrices

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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.


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