Sanne ter Horst
Sanne ter Horst
Professor of Mathematics, North-West University, Potchefstroom, South Africa
Verified email at nwu.ac.za
TitleCited byYear
Multivariable generalizations of the Schur class: positive kernel characterization and transfer function realization
JA Ball, Q Fang, S Horst, A Biswas
Recent Advances in Operator Theory and Applications, 17-79, 2009
222009
All solutions to the relaxed commutant lifting problem
AE Frazho, S Ter Horst, MA Kaashoek
Acta Sci. Math. (Szeged) 72, 299–318, 2006
212006
Coupling and relaxed commutant lifting
AE Frazho, S Horst, MA Kaashoek
Integral Equations and Operator Theory 54 (1), 33-67, 2006
192006
A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions
JA Ball, V Bolotnikov, S ter Horst
Indiana Univ. Math. J. 59 (no. 1), 15–51, 2010
182010
Multivariable operator-valued Nevanlinna-Pick interpolation: a survey
JA Ball, S Horst
Operator Algebras, Operator Theory and Applications, 1-72, 2010
122010
Equivalence after extension and matricial coupling coincide with Schur coupling, on separable Hilbert spaces
S Ter Horst, ACM Ran
Linear Algebra and its Applications 439 (3), 793-805, 2013
112013
Interpolation in de Branges-Rovnyak spaces
J Ball, V Bolotnikov, S Ter Horst
Proceedings of the American Mathematical Society 139 (2), 609-618, 2011
112011
Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting
JA Ball, G Groenewald, S Ter Horst
Multidimensional Systems And Signal Processing 27 (1), 217-254, 2016
102016
Abstract interpolation in vector-valued de Branges–Rovnyak spaces
JA Ball, V Bolotnikov, S ter Horst
Integral Equations and Operator Theory 70 (2), 227-263, 2011
102011
State space formulae for stable rational matrix solutions of a Leech problem
AE Frazho, S ter Horst, MA Kaashoek
Indagationes Mathematicae 25 (2), 250-274, 2014
92014
Robust control, multidimensional systems and multivariable Nevanlinna-Pick interpolation
JA Ball, S Horst, S Horst
Topics in Operator Theory, 13-88, 2010
92010
Relaxed commutant lifting and a relaxed Nehari problem: Redheffer state space formulas
S Horst
Mathematische Nachrichten 282 (12), 1753-1769, 2009
82009
State space formulas for a suboptimal rational Leech problem I: Maximum entropy solution
AE Frazho, S Ter Horst, MA Kaashoek
Integral Equations and Operator Theory 79 (4), 533-553, 2014
72014
Rational matrix solutions to the Leech equation: the Ball–Trent approach revisited
S Ter Horst
Journal of Mathematical Analysis and Applications 408 (1), 335-344, 2013
72013
Relaxed commutant lifting: an equivalent version and a new application
AE Frazho, S Horst, MA Kaashoek
Recent Advances in Operator Theory and Applications, 157-168, 2009
62009
Equivalence after extension for compact operators on Banach spaces
S ter Horst, M Messerschmidt, ACM Ran
Journal of Mathematical Analysis and Applications 431 (1), 136-149, 2015
52015
Relaxed commutant lifting and Nehari interpolation
S ter Horst
52007
Standard versus strict bounded real lemma with infinite-dimensional state space I: The state-space-similarity approach
JA Ball, GJ Groenewald, S Ter Horst
arXiv preprint arXiv:1804.08507, 2018
42018
A pre-order and an equivalence relation on Schur class functions and their invariance under linear fractional transformations
S Ter Horst
arXiv preprint arXiv:1408.0523, 2014
42014
Equivalence of robust stabilization and robust performance via feedback
JA Ball, Q Fang, GJ Groenewald, S Ter Horst
Mathematics of Control, Signals, and Systems 21 (1), 51-68, 2009
42009
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Articles 1–20