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J. William Helton
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- affiliation: University of California, San Diego, USA
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2020 – today
- 2023
- [j25]Eric Evert, Yi Fu, J. William Helton, John Yin:
Empirical Properties of Optima in Free Semidefinite Programs. Exp. Math. 32(3): 477-501 (2023) - 2021
- [j24]J. William Helton, Igor Klep, Scott A. McCullough, Jurij Volcic:
Noncommutative Polynomials Describing Convex Sets. Found. Comput. Math. 21(2): 575-611 (2021) - 2020
- [i1]Adam Bene Watts, J. William Helton:
3XOR Games with Perfect Commuting Operator Strategies Have Perfect Tensor Product Strategies and are Decidable in Polynomial Time. CoRR abs/2010.16290 (2020)
2010 – 2019
- 2013
- [j23]Harry Dym, J. William Helton, Caleb Meier:
Non-Commutative Representations of families of K2 Commutative polynomials in 2K2 Commuting Variables. Int. J. Algebra Comput. 23(7): 1685-1754 (2013) - [j22]J. William Helton, Igor Klep, Scott A. McCullough:
The matricial relaxation of a linear matrix inequality. Math. Program. 138(1-2): 401-445 (2013) - 2012
- [j21]J. William Helton, Jiawang Nie:
A Semidefinite Approach for Truncated K-Moment Problems. Found. Comput. Math. 12(6): 851-881 (2012) - 2010
- [j20]J. William Helton, Kevin J. McGown, Michael L. Walker:
Conditions for stabilization of the tokamak plasma vertical instability using only a massless plasma analysis. Autom. 46(11): 1762-1772 (2010) - [j19]J. William Helton, Jiawang Nie:
Semidefinite representation of convex sets. Math. Program. 122(1): 21-64 (2010) - [c12]Maurício C. de Oliveira, J. William Helton:
Solvability of linear matrix equations in a symmetric matrix variable. CDC 2010: 804-809 - [c11]J. William Helton, Igor Klep, Scott A. McCullough:
Relaxing LMI domination matricially. CDC 2010: 3331-3336
2000 – 2009
- 2009
- [j18]J. William Helton, Jiawang Nie:
Sufficient and Necessary Conditions for Semidefinite Representability of Convex Hulls and Sets. SIAM J. Optim. 20(2): 759-791 (2009) - [j17]J. William Helton, Igor Klep, Raul Gomez:
Determinant Expansions of Signed Matrices and of Certain Jacobians. SIAM J. Matrix Anal. Appl. 31(2): 732-754 (2009) - [j16]J. William Helton, Scott A. McCullough, Mihai Putinar, Victor Vinnikov:
Convex Matrix Inequalities Versus Linear Matrix Inequalities. IEEE Trans. Autom. Control. 54(5): 952-964 (2009) - 2008
- [c10]J. William Helton, Kevin J. McGown, Michael L. Walker:
Conditions for a massless plasma analysis to predict stabilization of the tokamak plasma vertical instability. CDC 2008: 3761-3768 - [c9]J. William Helton, Jiawang Nie:
Structured semidefinite representation of some convex sets. CDC 2008: 4797-4800 - 2006
- [j15]Juan F. Camino, J. William Helton, Robert E. Skelton:
Solving Matrix Inequalities whose Unknowns are Matrices. SIAM J. Optim. 17(1): 1-36 (2006) - [c8]Maurício C. de Oliveira, J. William Helton:
A Symbolic Procedure for Computing Semidefinite Program Duals. CDC 2006: 5192-5197 - 2005
- [j14]J. William Helton, Matthew R. James, William M. McEneaney:
Reduced-complexity nonlinear H∞ control of discrete-time systems. IEEE Trans. Autom. Control. 50(11): 1808-1811 (2005) - 2004
- [j13]J. William Helton, Scott A. McCullough:
Convex Noncommutative Polynomials Have Degree Two or Less. SIAM J. Matrix Anal. Appl. 25(4): 1124-1139 (2004) - [c7]Juan F. Camino, J. William Helton, Robert E. Skelton:
Solving matrix inequalities whose unknowns are matrices. CDC 2004: 3160-3166 - 2003
- [j12]Edward A. Bender, J. William Helton, L. Bruce Richmond:
Asymptotics of Permutations with Nearly Periodic Patterns of Rises and Falls. Electron. J. Comb. 10 (2003) - [j11]J. William Helton, Marshall A. Whittlesey:
Global Uniqueness Tests and Performance Bounds for Hinfinity Optima. SIAM J. Control. Optim. 42(1): 363-380 (2003) - [c6]J. William Helton, Maurício C. de Oliveira:
Computer algebra tailored to matrix inequalities in control. CDC 2003: 4973-4978 - [p1]J. William Helton:
Manipulating Matrix Inequalities Automatically. Mathematical Systems Theory in Biology, Communications, Computation, and Finance 2003: 237-256 - 2001
- [j10]J. William Helton:
Some adaptive control problems which convert to a "classical" problem in several complex variables. IEEE Trans. Autom. Control. 46(12): 2038-2043 (2001) - [c5]J. William Helton, Matthew R. James, William M. McEneaney:
Nonlinear H∞ control: practicality of implementing the cheap sensor case. CDC 2001: 2746-2751 - [c4]Robert E. Skelton, Rajesh Adhikari, Jean Paul Pinaud, Waileung Chan, J. William Helton:
An introduction to the mechanics of tensegrity structures. CDC 2001: 4254-4259 - 2000
- [j9]Michael Hardt, J. William Helton, Kenneth Kreutz-Delgado:
Numerical solution of nonlinear 𝒽2 and 𝒽∞ control problems with application to jet engine compressors. IEEE Trans. Control. Syst. Technol. 8(1): 98-111 (2000) - [c3]J. William Helton, Marshall A. Whittlesey:
Global uniqueness tests for H∞ optima. CDC 2000: 1043-1048 - [c2]Juan F. Camino, J. William Helton, Robert E. Skelton:
A symbolic algorithm for determining convexity of a matrix function: how to get Schur complements out of your life. CDC 2000: 5023-5026
1990 – 1999
- 1998
- [j8]S. Yuliar, Matthew R. James, J. William Helton:
Dissipative control systems synthesis with full state feedback. Math. Control. Signals Syst. 11(4): 335-356 (1998) - [j7]J. William Helton, Mark Stankus, John J. Wavrik:
Computer simplification of formulas in linear systems theory. IEEE Trans. Autom. Control. 43(3): 302-314 (1998) - 1994
- [j6]J. William Helton, Daniel Lam, Hugo J. Woerdeman:
Sparsity Patterns with High Rank Extremal Positive Semidefinite Matrices. SIAM J. Matrix Anal. Appl. 15(1): 299-312 (1994) - [j5]Michael L. Walker, J. William Helton:
Application of signal subspace algorithms to scattered geometric optics and edge-diffracted signals. IEEE Trans. Signal Process. 42(9): 2217-2226 (1994) - 1993
- [j4]Joseph A. Ball, J. William Helton, Michael L. Walker:
H∞ control for nonlinear systems with output feedback. IEEE Trans. Autom. Control. 38(4): 546-559 (1993) - 1992
- [j3]Joseph A. Ball, J. William Helton:
NonlinearH∞ control theory for stable plants. Math. Control. Signals Syst. 5(3): 233-261 (1992)
1980 – 1989
- 1988
- [j2]J. William Helton, Leiba Rodman:
Correction: Vandermonde and Resultant Matrices: An Abstract Approach. Math. Syst. Theory 21(1): 61 (1988) - 1987
- [j1]J. William Helton, Leiba Rodman:
Vandermonde and Resultant Matrices: An Abstract Approach. Math. Syst. Theory 20(2-3): 169-192 (1987)
1970 – 1979
- 1974
- [c1]F. Joanne Helton, J. William Helton:
Scattering theory and non linear systems. Category Theory Applied to Computation and Control 1974: 164-169
Coauthor Index
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