# LMIs in Control/Matrix and LMI Properties and Tools/Continuous Time/Eigenvalue Problem

LMIs in Control/Matrix and LMI Properties and Tools/Continuous Time/Eigenvalue Problem

The maximum eigenvalue of a matrix is going to have the most impact on system performance. This LMI allows for minimization of the maximum eigenvalue by minimizing .

**The System**Edit

**The Data**Edit

The matrices .

**The Optimization Problem**Edit

**The LMI:**Edit

**Conclusion:**Edit

The eigenvalue problem can be utilized to minimize the maximum eigenvalue of a matrix that depends affinely on a variable.

**Implementation**Edit

**Related LMIs**Edit

## External LinksEdit

- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.

- LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.