Optimization Software |
J. William Helton
SLIDES Bill's talk at AIM2021.pdf
Bill's papers on arXiv:
AIM09.pdf one per page
AIM09.ps one per page
AIM09p9.pdf 9 per page
for NC inequalities
for NC inequalities 6 per page
Classical Control Using H-infty Methods
- By J. William Helton and Orlando Merino. SIAM, 1998.
This is a research monograph which focuses on measurement
feedback control or, for those with less of an engineering pursuasion,
on factoring nonlinear operators acting on L^2.
It gives an outline of the subject and then it gives details of
resesarch (mostly of the authors) over the last 4 years.
The first part of the book should be good for
the beginner and the book's interior is definitely on the bleeding edge.
The lighthearted part is:
Extending H-infty Control to Nonlinear Systems.
- By J. William Helton and Matt James. SIAM, Dec. 1999.
Contents, Intro, History and the First 3 Yards
Some Special cases and Factoring
Index and Bibliography
Formulas for Nonlinear Time Varying Control
The following software packages are currently available through anonymous ftp.
Our Non Commutative Algebra Package which runs under
Mathematica is available from
or better yet from the
Getting it from us is
better since our version is much more recent.
A Noncommutative Gröbner Basis Package NCGB
which makes use of the NCAlgebra package
is available too
For complaints or to report really wild NC Expereiences there is
There are several software packages available for optimization
over analytic functions which were used to run examples in the book
Classical Control Using H-infty Methods.
The Mathematica files provided on this page contain software for dealing
with equations that come from chemical reaction networks.
These equations are ordinary differential equations of the form dx/dt=f(x)=S v(x);
some properties of these equations relating to steady states are often discernable
from the Jacobian, f ', of f.
The software is good for analysing sign patterns of f',
signs of the coefficients of the polynomial det f'(x).
Also there are commands which express S v(x) in another conventional form
YA monomials(x), used in deficiency theory.
A list of the coauthors of Bill's older papers.