5 papers
Partial Observation of Linear Systems with the Mori-Zwanzig Formalism
Fan Wang, Peter Benner, Jan Heiland
The Mori-Zwanzig formalism provides a systematic framework for deriving reduced-order model of dynamical systems when only part of the state is observed, but its practical use is o…
A-priori error estimation for space-time Galerkin POD for linear evolution problems
Carmen Gräßle, Jan Heiland, Jannis Marquardt
In this paper, we propose an a-priori error estimate for the model order reduction (MOR) method of space-time proper orthogonal decomposition (space-time POD). The original space-t…
Barycentric rational approximation for learning the index of a dynamical system from limited data
Davide Pradovera, Ion Victor Gosea, Jan Heiland
We consider the task of data-driven identification of dynamical systems, specifically for systems whose behavior at large frequencies is non-standard, as encoded by a non-trivial r…
Implicit and explicit matching of non-proper transfer functions in the Loewner framework
Ion Victor Gosea, Jan Heiland
The reduced-order modeling of a system from data (also known as system identification) is a classical task in system and control theory and well understood for standard linear syst…
Low-order Linear Parameter Varying Approximations for Nonlinear Controller Design for Flows
Amritam Das, Jan Heiland
The control of nonlinear large-scale dynamical models such as the incompressible Navier-Stokes equations is a challenging task. The computational challenges in the controller desig…