no code implementations • 1 Mar 2024 • Igor Pontes Duff, Pawan Goyal, Peter Benner
To this aim, we investigate the stability characteristics of control systems with energy-preserving nonlinearities, thereby identifying conditions under which such systems are bounded-input bounded-state stable.
no code implementations • 26 Aug 2023 • Pawan Goyal, Igor Pontes Duff, Peter Benner
In this work, we propose inference formulations to learn quadratic models, which are stable by design.
no code implementations • 24 Jan 2023 • Pawan Goyal, Igor Pontes Duff, Peter Benner
Machine-learning technologies for learning dynamical systems from data play an important role in engineering design.
1 code implementation • 13 Oct 2020 • Peter Benner, Pawan Goyal, Jan Heiland, Igor Pontes Duff
To that end, we utilize the intrinsic structure of the Navier-Stokes equations for incompressible flows and show that learning dynamics of the velocity and pressure can be decoupled, thus leading to an efficient operator inference approach for learning the underlying dynamics of incompressible flows.