Year: 2025
Type: article
Abstract: We consider optimal interpolation of functions analytic in simply connected domains in the complex plane. By choosing a specific structure for the approximant, we show that the resulting first-order optimality conditions can be interpreted as optimal $$\varvec{\mathcal {H}}_{\varvec{2}}$$ H 2 interpolation conditions for discrete-time dynamical systems. Connections to model reduction of discrete-time time-invariant delay systems are also established with particular emphasis on discretized linear systems obtained through the implicit Euler method, the midpoint method, and backward differentiation methods. A data-driven algorithm is developed to compute a (locally) optimal approximant. Our method is tested on three numerical experiments.
Authors: Alessandro Borghi, Tobias Breiten
Institution: Technische Universität Berlin
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W4417147585