Total number of decision variables in system of LMIs
ndec = decnbr(lmisys)
decnbr returns the number
ndec of decision variables (free scalar variables) in the LMI problem described in
lmisys. In other words,
ndec is the length of the vector of decision variables.
For an LMI system
lmis with two matrix variables X and Y such that
X is symmetric block diagonal with one 2-by-2 full block, and one 2-by-2 scalar block
Y is 2-by-3 rectangular,
the number of decision variables is
ndec = decnbr(LMIs) ndec = 10
This is exactly the number of free entries in X and Y when taking structure into account (see
decinfo for more details).