26 citations · 72 across the 14 of their papers we have counts for
5 papers · 1 filter
Data-driven optimal approximation on Hardy spaces in simply connected domains
Alessandro Borghi, Tobias Breiten
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 res…
When do World Models Successfully Learn Dynamical Systems?
Edmund Ross, Claudia Drygala, Leonhard Schwarz +4
In this work, we explore the use of compact latent representations with learned time dynamics ('World Models') to simulate physical systems. Drawing on concepts from control theory…
Balanced truncation with conformal maps
Alessandro Borghi, Tobias Breiten, Serkan Gugercin
We consider the problem of constructing reduced models for large scale systems with poles in general domains in the complex plane (as opposed to, e.g., the open left-half plane or…
Solving differential Riccati equations: A nonlinear space-time method using tensor trains
Tobias Breiten, Sergey Dolgov, Martin Stoll
Differential algebraic Riccati equations are at the heart of many applications in control theory. They are time-depent, matrix-valued, and in particular nonlinear equations that re…
-gap model reduction for stabilizable and detectable systems
Tobias Breiten, Chris A. Beattie, Serkan Gugercin
We formulate here an approach to model reduction that is well-suited for linear time-invariant control systems that are stabilizable and detectable but may otherwise be unstable. W…