Sean Reiter

\({\mathcal{H}}_{2}\)-Optimal Model Reduction of Linear Quadratic-Output Systems by Multivariate Rational Interpolation

Abstract. This paper addresses the [Formula: see text]-optimal approximation of linear dynamical systems with quadratic-output functions, also known as linear quadratic-output systems. Our major contributions are threefold. First, we derive interpolatory first-order optimality co...

Symmetric Hermite Quadrature‐Based Balanced Truncation for Learning Linear Dynamical Systems From Derivative Data

ABSTRACT Data‐driven reduced‐order modeling is an essential component in the computer‐aided design of control systems. In this work, we present a novel symmetric Hermite formulation of the quadrature‐based balanced truncation algorithm that constructs linear reduced‐order models...