J W. Helton - Publications

Affiliations: 
Mathematics University of California, San Diego, La Jolla, CA 
Area:
Mathematics

26 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2017 Evert E, Helton JW, Klep I, McCullough S. Circular free spectrahedra Journal of Mathematical Analysis and Applications. 445: 1047-1070. DOI: 10.1016/J.Jmaa.2016.07.011  0.33
2013 Helton JW, Klep I, McCullough S. The matricial relaxation of a linear matrix inequality Mathematical Programming. 138: 401-445. DOI: 10.1007/s10107-012-0525-z  0.321
2011 Greene JM, Helton JW, Vinnikov V. Noncommutative plurisubharmonic polynomials part I: Global assumptions Journal of Functional Analysis. 261: 3390-3417. DOI: 10.1016/J.Jfa.2011.08.006  0.433
2009 Helton JW, McCullough S, Putinar M, Vinnikov V. Convex matrix inequalities versus linear matrix inequalities Ieee Transactions On Automatic Control. 54: 952-964. DOI: 10.1109/Tac.2009.2017087  0.461
2009 Dym H, Greene JM, Helton JW, McCullough SA. Classification of all noncommutative polynomials whose Hessian has negative signature one and a noncommutative second fundamental form Journal D'Analyse Mathematique. 108: 19-59. DOI: 10.1007/S11854-009-0017-0  0.423
2007 Camino JF, Helton JW, Skelton RE. Solving matrix inequalities whose unknowns are matrices Siam Journal On Optimization. 17: 1-36. DOI: 10.1137/040613718  0.677
2007 Helton JW, Far RR, Speicher R. Operator-valued semicircular elements: Solving a quadratic matrix equation with positivity constraints International Mathematics Research Notices. 2007. DOI: 10.1093/imrn/rnm086  0.313
2007 Helton JW, Vinnikov V. Linear matrix inequality representation of sets Communications On Pure and Applied Mathematics. 60: 654-674. DOI: 10.1002/cpa.20155  0.314
2006 De Oliveira MC, Helton JW. Computer algebra tailored to matrix inequalities in control International Journal of Control. 79: 1382-1400. DOI: 10.1080/00207170600725529  0.49
2006 Helton JW, McCullough SA, Vinnikov V. Noncommutative convexity arises from linear matrix inequalities Journal of Functional Analysis. 240: 105-191. DOI: 10.1016/j.jfa.2006.03.018  0.35
2006 De Oliveira MC, Helton JW. A symbolic procedure for computing semidefinite program duals Proceedings of the Ieee Conference On Decision and Control. 5192-5197.  0.389
2005 Helton JW, McCullough S, Vinnikov V. Noncommutative convexity vs LMI'S Ifac Proceedings Volumes (Ifac-Papersonline). 16: 445-450. DOI: 10.3182/20050703-6-Cz-1902.01019  0.363
2003 Camino JF, Helton JW, Skelton RE, Ye J. Matrix inequalities: A symbolic procedure to determine convexity automatically Integral Equations and Operator Theory. 46: 399-454. DOI: 10.1007/S00020-001-1147-7  0.664
2003 Camino JF, Helton JW, Skelton RE, Ye J. Matrix inequalities: A symbolic procedure to determine convexity automatically Integral Equations and Operator Theory. 46: 399-454.  0.635
2000 Helton JW, Kronewitter FD, McEneaney WM, Stankus M. Singularly perturbed control systems using non-commutative computer algebra International Journal of Robust and Nonlinear Control. 10: 983-1003. DOI: 10.1002/1099-1239(200009/10)10:11/12<983::Aid-Rnc535>3.0.Co;2-#  0.438
2000 Camino JF, Helton JW, Skelton RE. A symbolic algorithm for determining convexity of a matrix function: How to get schur complements out of your life Proceedings of the Ieee Conference On Decision and Control. 5: 5023-5026.  0.666
1999 Helton JW, Stankus M. Computer Assistance for "Discovering" Formulas in System Engineering and Operator Theory Journal of Functional Analysis. 161: 289-363. DOI: 10.1006/Jfan.1998.3249  0.388
1998 Helton JW, Stankus M, Wavrik JJ. Computer simplification of formulas in linear systems theory Ieee Transactions On Automatic Control. 43: 302-314. DOI: 10.1109/9.661584  0.437
1998 Yuliar S, James MR, Helton JW. Dissipative Control Systems Synthesis with Full State Feedback Mathematics of Control, Signals, and Systems. 11: 335-356. DOI: 10.1007/Bf02750396  0.346
1993 Ball JA, Helton JW, Walker ML. H/sup infinity / control for nonlinear systems with output feedback Ieee Transactions On Automatic Control. 38: 546-559. DOI: 10.1109/9.250523  0.32
1992 Ball JA, Helton JW. Inner-outer factorization of nonlinear operators Journal of Functional Analysis. 104: 363-413. DOI: 10.1016/0022-1236(92)90005-4  0.322
1991 Helton FJ, Greene JM, Helton JW. A measure of control sensitivity and saturation effects for Tokamak equilibria Plasma Physics and Controlled Fusion. 33: 827-845. DOI: 10.1088/0741-3335/33/7/006  0.407
1991 Ball JA, Helton JW, Verma M. A factorization principle for stabilization of linear control systems International Journal of Robust and Nonlinear Control. 1: 229-294. DOI: 10.1002/Rnc.4590010403  0.312
1989 Helton JW, Sideris A. Frequency response algorithms for H/sub infinity / optimization with time domain constraints Ieee Transactions On Automatic Control. 34: 427-434. DOI: 10.1109/9.28017  0.403
1988 Helton FJ, Greene JM, Helton JW. Ideal MHD computations necessary for tokamak design realizability . 43-44.  0.419
1986 Ball JA, Helton JW. Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions Integral Equations and Operator Theory. 9: 155-203. DOI: 10.1007/Bf01195006  0.306
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