J. William Helton

Affiliations:
  • University of California, San Diego, USA


According to our database1, J. William Helton authored at least 38 papers between 1974 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of two.

Timeline

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Bibliography

2023
Empirical Properties of Optima in Free Semidefinite Programs.
Exp. Math., July, 2023

2021
Noncommutative Polynomials Describing Convex Sets.
Found. Comput. Math., 2021

2020
3XOR Games with Perfect Commuting Operator Strategies Have Perfect Tensor Product Strategies and are Decidable in Polynomial Time.
CoRR, 2020

2013
The matricial relaxation of a linear matrix inequality.
Math. Program., 2013

Non-Commutative Representations of families of K<sup>2</sup> Commutative polynomials in 2K<sup>2</sup> Commuting Variables.
Int. J. Algebra Comput., 2013

2012
A Semidefinite Approach for Truncated K-Moment Problems.
Found. Comput. Math., 2012

2010
Semidefinite representation of convex sets.
Math. Program., 2010

Conditions for stabilization of the tokamak plasma vertical instability using only a massless plasma analysis.
Autom., 2010

Solvability of linear matrix equations in a symmetric matrix variable.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Relaxing LMI domination matricially.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009
Convex Matrix Inequalities Versus Linear Matrix Inequalities.
IEEE Trans. Autom. Control., 2009

Determinant Expansions of Signed Matrices and of Certain Jacobians.
SIAM J. Matrix Anal. Appl., 2009

Sufficient and Necessary Conditions for Semidefinite Representability of Convex Hulls and Sets.
SIAM J. Optim., 2009

2008
Structured semidefinite representation of some convex sets.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

Conditions for a massless plasma analysis to predict stabilization of the tokamak plasma vertical instability.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2006
Solving Matrix Inequalities whose Unknowns are Matrices.
SIAM J. Optim., 2006

A Symbolic Procedure for Computing Semidefinite Program Duals.
Proceedings of the 45th IEEE Conference on Decision and Control, 2006

2005
Reduced-complexity nonlinear H<sup>∞</sup> control of discrete-time systems.
IEEE Trans. Autom. Control., 2005

2004
Convex Noncommutative Polynomials Have Degree Two or Less.
SIAM J. Matrix Anal. Appl., 2004

2003
Global Uniqueness Tests and Performance Bounds for H<sup>infinity</sup> Optima.
SIAM J. Control. Optim., 2003

Asymptotics of Permutations with Nearly Periodic Patterns of Rises and Falls.
Electron. J. Comb., 2003

Computer algebra tailored to matrix inequalities in control.
Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

Manipulating Matrix Inequalities Automatically.
Proceedings of the Mathematical Systems Theory in Biology, 2003

2001
Some adaptive control problems which convert to a "classical" problem in several complex variables.
IEEE Trans. Autom. Control., 2001

An introduction to the mechanics of tensegrity structures.
Proceedings of the 40th IEEE Conference on Decision and Control, 2001

Nonlinear H<sub>∞</sub> control: practicality of implementing the cheap sensor case.
Proceedings of the 40th IEEE Conference on Decision and Control, 2001

2000
Numerical solution of nonlinear 𝒽<sub>2</sub> and 𝒽<sub>∞</sub> control problems with application to jet engine compressors.
IEEE Trans. Control. Syst. Technol., 2000

Global uniqueness tests for H<sup>∞</sup> optima.
Proceedings of the 39th IEEE Conference on Decision and Control, 2000

A symbolic algorithm for determining convexity of a matrix function: how to get Schur complements out of your life.
Proceedings of the 39th IEEE Conference on Decision and Control, 2000

1998
Computer simplification of formulas in linear systems theory.
IEEE Trans. Autom. Control., 1998

Dissipative control systems synthesis with full state feedback.
Math. Control. Signals Syst., 1998

1994
Sparsity Patterns with High Rank Extremal Positive Semidefinite Matrices.
SIAM J. Matrix Anal. Appl., January, 1994

Application of signal subspace algorithms to scattered geometric optics and edge-diffracted signals.
IEEE Trans. Signal Process., 1994

1993
H<sup>∞</sup> control for nonlinear systems with output feedback.
IEEE Trans. Autom. Control., 1993

1992
Nonlinear<i>H</i><sup>∞</sup> control theory for stable plants.
Math. Control. Signals Syst., 1992

1988
Correction: Vandermonde and Resultant Matrices: An Abstract Approach.
Math. Syst. Theory, 1988

1987
Vandermonde and Resultant Matrices: An Abstract Approach.
Math. Syst. Theory, 1987

1974
Scattering theory and non linear systems.
Proceedings of the Category Theory Applied to Computation and Control, 1974


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