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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…
math.OC2014★ 2 cited
Bounded Real Lemma and structured singular value versus diagonal scaling: the free noncommutative setting
Joseph A. Ball, Gilbert J. Groenewald, Sanne ter Horst
The structured singular value was introduced independently by Doyle and Safanov as a tool for analyzing robustness of system stability and performance in the presence of struct…
math.OC2009★ 15 cited
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…