15 citations · 24 across the 6 of their papers we have counts for
6 papers
The Infinite-Dimensional Standard and Strict Bounded Real Lemmas in Continuous Time: The storage function approach
Joseph A. Ball, Sanne ter Horst, Mikael Kurula
The bounded real lemma (BRL) is a classical result in systems theory, which provides a linear matrix inequality criterium for dissipativity, via the Kalman-Yakubovich-Popov (KYP) i…
Standard versus strict Bounded Real Lemma with infinite-dimensional state space III: The dichotomous and bicausal cases
J. A. Ball, G. J. Groenewald, S. ter Horst
This is the third installment in a series of papers concerning the Bounded Real Lemma for infinite-dimensional discrete-time linear input/state/output systems. In this setting, und…
Standard versus Strict Bounded Real Lemma with infinite-dimensional state space I: The State-Space-Similarity Approach
J. A. Ball, G. J. Groenewald, S. ter Horst
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 lin…
Robust control, multidimensional systems and multivariable Nevanlinna-Pick interpolation
J. A. Ball, S. ter Horst
The connection between the standard -problem in control theory and Nevanlinna-Pick interpolation in operator theory was established in the 1980s, and has led to a fruitfu…
A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions
J. A. Ball, V. Bolotnikov, S. ter Horst
Recent results of Davidson-Paulsen-Raghupathi-Singh give necessary and sufficient conditions for the existence of a solution to the Nevanlinna-Pick interpolation problem on the uni…
Multivariable operator-valued Nevanlinna-Pick interpolation: a survey
J. A. Ball, S. ter Horst
The theory of Nevanlinna-Pick and Carathéodory-Fejér interpolation for matrix- and operator-valued Schur class functions on the unit disk is now well established. Recent work has p…