# LMIs in Control/Matrix and LMI Properties and Tools/Frobenius Norm

** Frobenius Norm**Edit

Consider and _{>0}

The Frobenius norm of is _{F} =

The Frobenius norm is less than or equal to if and only if any of the following equivalent conditions are satisfied.

1.There exists such that

2.There exists such that

## External LinksEdit

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