| Book 1998 |
|---|
- Classical Control Using H-infty Methods
- By J. William Helton and Orlando Merino. SIAM, 1998.
| Book 1999 |
|---|
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
| Directions beyond the book; recent papers |
|---|
Software
The following software packages are currently available through anonymous ftp.
| NCAlgebra |
|---|
Our Non Commutative Algebra Package which runs under Mathematica is available from mathsource.wri.com or better yet from the NCAlgebra Homepage. 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 NCAlgebra Homepage. It uses a link to C++ which makes it delicate, so as of April fools 1999 we support it under Solaris operating systems only. For complaints or to report really wild NC Expereiences there is our email ncalg@ucsd.edu.
| Optimization Over Analytic Functions |
|---|
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.
| Chemical Reaction Equation Software |
|---|
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.
| Collaborators |
|---|
A list of the coauthors of the above papers.
