Browsing Faculty of Natural and Agricultural Sciences by Author "24116327 - Ter Horst, Sanne"
Now showing items 1-20 of 29
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All solutions to an operator Nevanlinna-Pick interpolation problem
Frazho, A.E.; Ter Horst, S.; Kaashoek, M.A. (Springer, 2018)The main results presented in this paper provide a complete and explicit description of all solutions to the left tangential operator Nevanlinna– Pick interpolation problem assuming the associated Pick operator is strictly ... -
The Bezout-Corona problem revisited: Wiener space setting
Groenewald, G.J.; Ter Horst, S.; Kaashoek, M.A. (Springer, 2016)The matrix-valued Bezout-corona problem G(z)X(z)=Im, |z|<1, is studied in a Wiener space setting, that is, the given function G is an analytic matrix function on the unit disc whose Taylor coefficients are absolutely ... -
The Bézout equation on the right half-plane in a Wiener space setting
Groenewald, G.J.; Ter Horst, S.; Kaashoek, M.A. (Springer, 2017)This paper deals with the Bézout equation G(s)X(s)=Im,Rs≤0, in the Wiener space of analytic matrix-valued functions on the right halfplane. In particular, G is an m × p matrix-valued analytic Wiener function, where p ≥ m, ... -
Bounded real lemma and structured singular value versus diagonal scaling: the free noncommutative setting
Ball, Joseph A.; Groenewald, Gilbert; Ter Horst, Sanne (Springer, 2016)The structured singular value (often referred to simply as μ) was introduced independently by Doyle and Safonov as a tool for analyzing robustness of system stability and performance in the presence of structured uncertainty ... -
The discrete twofold Ellis–Gohberg inverse problem
Ter Horst, S.; Kaashoek, M.A.; Van Schagen, F. (Elsevier, 2017)In this paper a twofold inverse problem for orthogonal matrix functions in the Wiener class is considered. The scalar-valued version of this problem was solved by Ellis and Gohberg in 1992. Under reasonable conditions, the ... -
Editorial
Bolotnikov, V.; Ter Horst, S.; Ran, A.C.M.; Vinnikov, V. (Springer, 2019)This volume in the Operator Theory: Advances and Application series is devoted to Joseph A. (Joe) Ball’s four and a half decade long mathematical career and in celebration of his seventieth birthday on June 4, 2017. His ... -
Equivalence after extension and matricial coupling coincide with Schur coupling, on separable Hilbert spaces
Ter Horst, Sanne; Ran, André C.M. (Elsevier, 2013)It is known that two Banach space operators that are Schur coupled are also equivalent after extension, or equivalently, matricially coupled. The converse implication, that operators which are equivalent after extension ... -
Equivalence after extension and Schur coupling coincide for inessential operators
Ter Horst, S.; Ran, A.C.M.; Roelands, M.; Messerschmidt, M.; Wortel, M. (Elsevier, 2018)In recent years the coincidence of the operator relations equivalence after extension (EAE) and Schur coupling (SC) was settled for the Hilbert space case. For Banach space operators, it is known that SC implies EAE, but ... -
Equivalence after extension and Schur coupling do not coincide on essentially incomparable Banach spaces
Ter Horst, S.; Ran, A.C.M.; Messerschmidt, M.; Roelands, M. (London Mathematical Society, 2019)In 1994, H. Bart and V. É. Tsekanovskii posed the question whether the Banach space operator relations matricial coupling (MC), equivalence after extension (EAE) and Schur coupling (SC) coincide, leaving only the implication ... -
Equivalence after extension and Schur Coupling for relatively regular operators
Ter Horst, S.; Messerschmidt, M.; Ran, A.C.M. (Springer, 2020)It was recently shown in Ter Horst et al. (Bull Lond Math Soc 51:1005–1014, 2019) that the Banach space operator relations Equivalence After Extension (EAE) and Schur Coupling (SC) do not coincide by characterizing these ... -
Equivalence after extension for compact operators on Banach spaces
Ter Horst, S.; Messerschmidt, M.; Ran, A.C.M. (Elsevier, 2015)In recent years the coincidence of the operator relations equivalence after extension and Schur coupling was settled for the Hilbert space case, by showing that equivalence after extension implies equivalence after one-sided ... -
Equivalence of robust stabilization and robust performance via feedback
Ball, Joseph A.; Groenewald, Gilbert J.; Ter Horst, Sanne; Fang, Quanlei (Springer, 2009)One approach to robust control for linear plants with structured uncertainty as well as for linear parameter-varying plants (where the controller has on-line access to the varying plant parameters) is through linear-frac ... -
Graphs with sparsity order at most two: the complex case
Ter Horst, S.; Klem, E.M. (Taylor & Francis, 2017)The sparsity order of a (simple undirected) graph is the highest possible rank (over or ) of the extremal elements in the matrix cone that consists of positive semidefinite matrices with prescribed zeros on the positions ... -
A pre-order and an equivalence relation on Schur class functions and their invariance under linear fractional transformations
Ter Horst, S. (Theta Foundation, 2014)Motivated by work of Yu.L. Shmul’yan a pre-order and an equivalence relation on the set of operator-valued Schur class functions are introduced and the behavior of Redheffer linear fractional transformations (LFTs) ... -
A pre-order on operators with positive real part and its invariance under linear fractional transformations
Ter Horst, Sanne (Elsevier, 2014)A pre-order and equivalence relation on the class of Hilbert space operators with positive real part are introduced, in correspondence with similar relations for contraction operators defined by Yu.L. Shmul'yan in [6]. It ... -
Preface
Bart, H.; Ter Horst, S.; Ran, A.C.M.; Woerdeman, H.J. (Springer, 2018)On November 10, 2017, M.A. (Rien) Kaashoek turned eighty. Several initia-tives were taken to celebrate this event. At the Vrije Universiteit in Ams-terdam a one-afternoon workshop was organized on October 14; at the 2017IWOTA ... -
Preface: Interpolation and realization theory with applications to control theory
Bolotnikov, Vladimir; Ter Horst, Sanne; Ran, André C.M.; Vinnikov, Victor (Springer, 2019) -
Rational matrix solutions to the Leech equation: the Ball-Trent approach revisited
Ter Horst, Sanne (Elsevier, 2013)Using spectral factorization techniques, a method is given by which rational matrix solutions to the Leech equation with rational matrix data can be computed explicitly. This method is based on an approach of J.A. Ball ... -
Standard versus strict Bounded Real Lemma with infinite-dimensional state space II: the storage function approach
Ball, J.A.; Groenewald, G.J.; Ter Horst, S. (Springer, 2018)For discrete-time causal linear input/state/output systems, the Bounded Real Lemma explains (under suitable hypotheses) the contractivity of the values of the transfer function over the unit disk for such a system in terms ... -
Standard versus strict bounded real lemma with infinite-dimensional state space. I. The state-space-similarity approach
Ball, Joseph A.; Groenewald, Gilbert J.; Ter Horst, Sanne (Theta Foundation, 2018)The bounded real lemma, i.e., the state-space linear matrix inequality characterization (referred to as Kalman--Yakubovich--Popov or KYP-inequality) of when an input/state/output linear system satisfies a dissipation ...