# LMIs in Control/pages/LMI for convex minimization problem

< LMIs in Control | pages

LMIs in Control/pages/LMI for convex minimization problem

**The System**Edit

Let and are matrix functions of appropriate dimensions.

Moreove, the matrix functions and are linear in vector where is an vector.

**The Data**Edit

A convex function is given and is the vector of decision variables.

**The Optimization Problem**Edit

The optimization problem is to minimize the convex function such that a contraint between two convex functions are satisfied for the decision variables.

**The LMI:** LMI for convex minimization problemEdit

**Conclusion:**Edit

**Implementation**Edit

A link to Matlab codes for this problem in the Github repository:

**Related LMIs**Edit

## External LinksEdit

A list of references documenting and validating the LMI.

- [1] - LMI in Control Systems Analysis, Design and Applications