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

IntroductionEdit

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 LMIsEdit

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 LinksEdit

A list of references documenting and validating the LMI.


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