J. William Helton

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Relaxing LMI domination matricially

J. William Helton, Igor Klep, Scott A. McCullough, 2010, 49th IEEE Conference on Decision and Control (CDC).

5. A Design Example with OPTDesign

J. William Helton, Orlando Merino, 1998 .

Structured semidefinite representation of some convex sets

J. William Helton, Jiawang Nie, J. Helton, 2008, 2008 47th IEEE Conference on Decision and Control.

11. Proof of the Main Result

J. William Helton, Orlando Merino, 1998 .

A Semidefinite Approach for Truncated K-Moment Problems

J. William Helton, Jiawang Nie, J. Helton, 2012, Foundations of Computational Mathematics.

4. Information State Control

Matthew R. James, J. William Helton, 1999 .

Numerical results on H∞ control

J. William Helton, Orlando Merino, 1990, 1990 American Control Conference.

ALTERNATIVE APPROACHES IN FREQUENCY DOMAIN DESIGN OF SINGLE LOOP FEEDBACK SYSTEMS WITH PLANT UNCERTAINTY

J. William Helton, Orlando Merino, F. N. Bailey, 1997 .

Some adaptive control problems which convert to a "classical" problem in several complex variables

J. William Helton, 2001, IEEE Trans. Autom. Control..

Operators, matrices and analytic functions : proceedings of the XIXth International Workshop on Operator Theory and its Applications, College of William and Mary, 2008

J. William Helton, Vladimir Bolotnikov, Joseph A. Ball, 2010 .

Solvability of linear matrix equations in a symmetric matrix variable

Maurício C. de Oliveira, J. William Helton, J. Helton, 2010, 49th IEEE Conference on Decision and Control (CDC).

6. Storage Functions

Matthew R. James, J. William Helton, M. James, 1999 .

1. A Method for Solving System Design Problems

J. William Helton, Orlando Merino, 1998 .

Classical Control Using H∞ Methods: Theory, Optimization, and Design

J. William Helton, Orlando Merino, J. Helton, 1998 .

Semidefinite representation of convex sets

J. William Helton, Jiawang Nie, J. Helton, 2007, Math. Program..

Vandermonde and resultant matrices: An abstract approach

Leiba Rodman, J. William Helton, J. Helton, 1987, Mathematical systems theory.

7. Special Cases

J. William Helton, Matthew R. James, 1999 .

Sufficient and Necessary Conditions for Semidefinite Representability of Convex Hulls and Sets

J. William Helton, Jiawang Nie, J. Helton, 2007, SIAM J. Optim..

Reduced-complexity nonlinear H/sup /spl infin// control of discrete-time systems

William M. McEneaney, Matthew R. James, J. William Helton, 2005, IEEE Transactions on Automatic Control.

Some matrix problems in engineering

J. William Helton, 1987 .

Topics in Operator Theory

Leiba Rodman, J. William Helton, Vladimir Bolotnikov, 2010 .

loo Optimization With Uncertainty in the Plant

J. William Helton, Orlando Merino, Trent E. Walker, 1994 .

Dissipative control systems synthesis with full state feedback

Matthew R. James, J. William Helton, S. Yuliar, 1998, Math. Control. Signals Syst..

Numerical solution of nonlinear 𝒽2 and 𝒽∞ control problems with application to jet engine compressors

Kenneth Kreutz-Delgado, J. William Helton, Michael Hardt, 2000, IEEE Trans. Control. Syst. Technol..

14. Coordinate Descent Approaches to OPT

J. William Helton, Orlando Merino, 1998 .

Asymptotics of Permutations with Nearly Periodic Patterns of Rises and Falls

Edward A. Bender, L. Bruce Richmond, J. William Helton, 2003, Electron. J. Comb..

Global Uniqueness Tests and Performance Bounds for Hinfinity Optima

J. William Helton, Marshall A. Whittlesey, 2003, SIAM J. Control. Optim..

Correction: Vandermonde and Resultant Matrices: An Abstract Approach

Leiba Rodman, J. William Helton, 1988, Math. Syst. Theory.

Solving matrix inequalities whose unknowns are matrices

Robert E. Skelton, J. William Helton, Juan F. Camino, 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

Conditions for stabilization of the tokamak plasma vertical instability using only a massless plasma analysis

J. William Helton, Michael L. Walker, Kevin J. McGown, 2010, Autom..

PERFORMANCE FUNCTIONS AND SUBLEVEL SETS FOR FREQUENCY DOMAIN DESIGN OF SINGLE LOOP FEEDBACK CONTROL SYSTEMS WITH PLANT UNCERTAINTY

J. William Helton, Orlando Merino, F. N. Bailey, 1997 .

3. Frequency Domain Performance Requirements

J. William Helton, Orlando Merino, 1998 .

NonlinearH∞ control theory for stable plants

J. William Helton, Joseph A. Ball, J. Helton, 1992, Math. Control. Signals Syst..

3XOR Games with Perfect Commuting Operator Strategies Have Perfect Tensor Product Strategies and are Decidable in Polynomial Time pdf

J. William Helton, Adam Bene Watts, 2020, ArXiv.

Manipulating Matrix Inequalities Automatically

J. William Helton, J. Helton, 2003, Mathematical Systems Theory in Biology, Communications, Computation, and Finance.

15. More Numerical Algorithms

J. William Helton, Orlando Merino, 1998 .

Classical control using H[∞] methods

J. William Helton, Orlando Merino, J. Helton, 1998 .

An introduction to design

J. William Helton, Orlando Merino, J. Helton, 1998 .

Conditions for a massless plasma analysis to predict stabilization of the tokamak plasma vertical instability

J. William Helton, Michael L. Walker, Kevin J. McGown, 2008, 2008 47th IEEE Conference on Decision and Control.

Scattering theory and non linear systems

J. William Helton, F. Joanne Helton, 1974, Category Theory Applied to Computation and Control.

Non-Commutative Representations of families of K2 Commutative polynomials in 2K2 Commuting Variables

J. William Helton, Harry Dym, Caleb Meier, 2012, Int. J. Algebra Comput..

H∞ control of systems with compensators which read the command signal

Wei Zhan, J. William Helton, Michael L. Walker, 1996 .

Determinant Expansions of Signed Matrices and of Certain Jacobians

J. William Helton, Igor Klep, Raul Gomez, 2008, SIAM J. Matrix Anal. Appl..

The matricial relaxation of a linear matrix inequality

J. William Helton, Igor Klep, Scott A. McCullough, 2010, Math. Program..

Convex Matrix Inequalities Versus Linear Matrix Inequalities

J. William Helton, Scott A. McCullough, Mihai Putinar, 2009, IEEE Transactions on Automatic Control.

13. Many Analytic Functions: Optimization for MIMO System Design

J. William Helton, Orlando Merino, 1998 .

Convex Noncommutative Polynomials Have Degree Two or Less

J. William Helton, Scott A. McCullough, J. Helton, 2004, SIAM J. Matrix Anal. Appl..

Application of signal subspace algorithms to scattered geometric optics and edge-diffracted signals

J. William Helton, Michael L. Walker, J. Helton, 1994, IEEE Trans. Signal Process..

18. Numerical Algorithms for H∞ Optimization

J. William Helton, Orlando Merino, 1998 .

Empirical Properties of Optima in Free Semidefinite Programs

J. William Helton, John Yin, Eric Evert, 2021, Experimental Mathematics.

A Fluid Model of a Traffic Network with Information Feedback and Onramp Controls

Frank P. Kelly, J. William Helton, Ilze Ziedins, 2021 .

Noncommutative Polynomials Describing Convex Sets

J. William Helton, Igor Klep, Scott McCullough, 2018, Found. Comput. Math..

Synchronous Values of Games

J. William Helton, Hamoon Mousavi, Vern I. Paulsen, 2021, 2109.14741.

Book review

J. William Helton, J. Helton, 1987 .

The cascade decompositions of a given system vs the linear fractional decompositions of its transfer function

J. William Helton, Joseph A. Ball, J. Helton, 1982 .

Classical Control Using H-Infinity Methods: Theory, Optimization, and Design

J. William Helton, Orlando Merino, 1998 .

Nonlinear H∞ Control Theory: A Literature Survey

J. William Helton, Joseph A. Ball, 1990 .

M ar 2 01 0 EVERY FREE CONVEX BASIC SEMI-ALGEBRAIC SET HAS AN LMI REPRESENTATION

J. William Helton, Scott McCullough, J. Helton, 2010 .

Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions

J. William Helton, Igor Klep, Markus Schweighofer, 2014, Memoirs of the American Mathematical Society.

Beurling-Lax representations using classical Lie groups with many applications II: GL(n,©) and Wiener-Hopf factorization

J. William Helton, Joseph A. Ball, 1984 .

Factorization results related to shifts in an indefinite metric

J. William Helton, Joseph A. Ball, J. Helton, 1982 .

Systems with infinite dimensional state space: The Hilbert space approach

J. William Helton, 1976 .

Piecewise Riccati equations and the bounded real lemma

J. William Helton, J. Helton, W. Zhan, 1997 .

Conditions for optimality over H

J. William Helton, Orlando Merino, 1993 .

Applications of Realizations (aka Linearizations) to Free Probability

J. William Helton, Roland Speicher, Tobias Mai, 2015, 1511.05330.

A Spectral Factorization Approach to the Distributed Stable Regular Problem; the Algebraic Riccati Equation

J. William Helton, 1976 .

Rules for Computer Simplification of the Formulas in Operator Model Theory and Linear Systems

John J. Wavrik, J. William Helton, J. Helton, 1994 .

MEASURES WITH ZEROS IN THE INVERSE OF THEIR MOMENT MATRIX

Jean B. Lasserre, J. William Helton, Mihai Putinar, 2008 .

The convex Positivstellensatz in a free algebra

J. William Helton, Igor Klep, Scott McCullough, 2011, 1102.4859.

Non-Euclidean functional analysis and electronics

J. William Helton, J. Helton, 1982 .

H∞-Control Theory

Edoardo Mosca, Bruce A. Francis, Luciano Pandolfi, 1991 .

Analytic mappings between noncommutative pencil balls

J. William Helton, Igor Klep, Scott McCullough, 2009, 0908.0742.

Subinvariants for Analytic Mappings on Matrix Balls

J. William Helton, Joseph A. Ball, 1981 .

Classical Control Using H-infinity Methods: An Introduction to Design

J. William Helton, Orlando Merino, 1987 .

Factorization and General Properties of Nonlinear Toeplitz Operators

J. William Helton, Joseph A. Ball, 1989 .

Noncommutative ball maps

J. William Helton, Igor Klep, Scott McCullough, 2008, 0809.4874.

Inner-outer factorization of nonlinear operators

J. William Helton, Joseph A. Ball, J. Helton, 1992 .

Shift invariant manifolds and nonlinear analytic function theory

J. William Helton, Joseph A. Ball, J. Helton, 1988 .

Every convex free basic semi-algebraic set has an LMI representation

J. William Helton, Scott McCullough, J. Helton, 2012 .

The Tracial Hahn-Banach Theorem, Polar Duals, Matrix Convex Sets, and Projections of Free Spectrahedra

J. William Helton, Igor Klep, Scott McCullough, 2014, 1407.8198.

Analytic functions optimizing competing constraints

J. William Helton, J. Helton, Andrei E. Vityaev, 1997 .

SOLVING MATRIX INEQUALITIES WHOSE UNKNOWNS ARE

Robert E. Skelton, J. William Helton, Juan F. Camino, 2006 .

H" CONTROL USING COMPENSATORS WITH ACCESS TO THE COMMAND SIGNALS

J. William Helton, Michael L. Walker, J. Helton, 1992 .

Engineering Systems and Free Semi-Algebraic Geometry

J. William Helton, Mihai Putinar, Scott McCullough, 2009 .

An inequality governing nonlinear H ∞ control

J. William Helton, J. Helton, W. Zhan, 1994 .

Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints

J. William Helton, Roland Speicher, Reza Rashidi Far, 2007 .

Shift Invariant Subspaces, Passivity, Reproducing Kernels and H∞-Optimization

J. William Helton, Joseph A. Ball, J. Helton, 1988 .

Semidefinite Representation of Convex Sets and Convex Hulls

J. William Helton, Jiawang Nie, J. Helton, 2012 .

Matrix Representations for Positive Noncommutative Polynomials

J. William Helton, Mihai Putinar, Scott McCullough, 2006 .

The distance of a function to H∞ in the Poincaré metric; electrical power transfer☆

J. William Helton, J. Helton, 1980 .

Operator theory, analytic functions, matrices, and electrical engineering

J. William Helton, J. Helton, 1987 .

Proper analytic free maps

J. William Helton, Igor Klep, Scott McCullough, 2010, 1004.1381.

Robust Stabilization of a Family of Plants with Varying Number of Right Half Plane Poles

J. William Helton, Madanpal S. Verma, Edmond A. Jonckheere, 1986, 1986 American Control Conference.

Discrete time systems, operator models, and scattering theory

J. William Helton, J. Helton, 1974 .

A bang-bang theorem for optimization over spaces of analytic functions

J. William Helton, Roger Howe, 1986 .

On real one-sided ideals in a free algebra

J. William Helton, Igor Klep, Scott McCullough, 2012, 1208.4837.