LMIs in Control/Matrix and LMI Properties and Tools/Concatenation Of Matrices
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
is equivalent to satisfying the concatenated LMI:
More generally, satisfying the LMIs , where is equivalent to satisfying the concatenated LMI:
A list of references documenting and validating the LMI.