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math.FA2021
A Hill-Pick matrix criteria for the Lyapunov order
Sanne ter Horst, Alma van der Merwe
The Lyapunov order appeared in the study of Nevanlinna-Pick interpolation for positive real odd functions with general (real) matrix points. For real or complex matrices and $B…
math.OC2021
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…