Mercurial > forge
changeset 9124:954214e6eda4 octave-forge
control-devel: quicksave hnamodred doc
author | paramaniac |
---|---|
date | Thu, 08 Dec 2011 10:02:29 +0000 |
parents | 1f663cd821eb |
children | 64abcfd72075 |
files | extra/control-devel/inst/hnamodred.m |
diffstat | 1 files changed, 35 insertions(+), 0 deletions(-) [+] |
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--- a/extra/control-devel/inst/hnamodred.m Thu Dec 08 09:42:43 2011 +0000 +++ b/extra/control-devel/inst/hnamodred.m Thu Dec 08 10:02:29 2011 +0000 @@ -23,6 +23,41 @@ ## ## Model order reduction by frequency weighted optimal Hankel-norm approximation method. ## +## @iftex +## @tex +## $$ || G - G_r ||_H = min $$ +## $$ || W_o (G - G_r) W_i ||_H = min $$ +## @end tex +## @end iftex +## @ifnottex +## @example +## ||G-Gr|| = min +## H +## +## ||Wo (G-Gr) Wi|| = min +## H +## @end example +## @end ifnottex +## +## Approximation Properties: +## @itemize @bullet +## @item +## Guaranteed stability of reduced models +## @item +## Lower guaranteed error bound +## @item +## Reduction of unstable systems in combination with modal +## or coprime factorization techniques. +## @item +## Guaranteed a priori error bound +## @iftex +## @tex +## $$ || (G-G_r) ||_{\\infty} \\leq 2 \\sum_{j=r+1}^{n} \\sigma_j $$ +## @end tex +## @end iftex +## @end itemize + +## ## @strong{Inputs} ## @table @var ## @item sys