dellmi

Remove LMI from system of LMIs

Syntax

newsys = dellmi(lmisys,n)

Description

dellmideletes the n-th LMI from the system of LMIs described inlmisys. The updated system is returned innewsys.

The rankingnis relative to the order in which the LMIs were declared and corresponds to the identifier returned bynewlmi. Since this ranking is not modified by deletions, it is safer to refer to the remaining LMIs by their identifiers. Finally, matrix variables that only appeared in the deleted LMI are removed from the problem.

Examples

Suppose that the three LMIs

$\begin{array}{l} A_{1}^{T} X_{1} + X_{1} A_{1} + Q_{1} < 0 \\ A_{2}^{T} X_{2} + X_{2} A_{2} + Q_{2} < 0 \\ A_{3}^{T} X_{3} + X_{3} A_{3} + Q_{3} < 0 \end{array}$