Department of Mathematics University of California San Diego 9500 Gilman Drive La Jolla, California 92093-0112 |
Mailcode: 0112 Phone: (858) 534-2653 Office: APM 6161
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f Email: heltonATmath.ucsd.edu |

M120B WINTER 2014 Web page > |
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M120A FALL 2013 Web page > |
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M241A Fall 2013 Web page > |
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An Eclectic Conference at UCSD: Oct 2,3,4 of 2010 |
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Our Focused Research Group in Convex Algebraic Geometry |
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PAPERS of J W Helton and preprints pre mid 2011 |
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Bill's papers on arXiv:

PAPERS of J W Helton on arXiv |
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SLIDES |
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AIM09.pdf one per page

AIM09.ps one per page

AIM09p9.pdf 9 per page

Engineering Motivation for NC inequalities

Engineering Motivation for NC inequalities 6 per page

Book 1998 |
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Classical Control Using H-infty Methods- By J. William Helton and Orlando Merino. SIAM, 1998.

Book 1999 |
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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 |
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NCAlgebra |
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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. For complaints or to report really wild NC Expereiences there is our email ncalg@ucsd.edu.

Optimization Over Analytic Functions |
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There are several software packages available for optimization over analytic functions which were used to run examples in the bookClassical Control Using H-infty Methods.

Chemical Reaction Equation Software |
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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 |
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A list of the coauthors of Bill's older papers.

These are here so Bill can always find them.

M241A FALL 2012 Handout |
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M247A Real Topics, Web page > |
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M20C WINTER 2012 Web page > |
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Math 20D Spring 2011 Webpage |
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M20F Winter 2009 Web page > |
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M120A Fall 2008 Web page > |
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M241A Fall 2008 Web page > |
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Topics M247B Fall and Winter 2008 Web page > |
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Homework for M130B 2004

PAST CONFERENCES ON OUR BELOVED THEMES |
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1. Tutorial Workshop:on Real Algebraic Geometry, Polynomial Optimization and Linear Matrix Inequalities (LMIPO) At UCSD March 22-25 2009

2. BANFF 2009

3. AIM 2009

Bill's Course Web Page Template |
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Overhead Projector Slides for Teaching 3D Calculus |
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Amusing to the trade:Famous Mathematcians

Noncommutative Moment Matrix of Degree 2

Thanks for financial support to the NSF via grants DMS 0700758 and DMS 0757212 and to the Ford Motor Co.. |
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Send comments about this homepage to
helton@ucsd.edu.