Search Results for author: Igor Pontes Duff

Found 4 papers, 1 papers with code

Stability-Certified Learning of Control Systems with Quadratic Nonlinearities

no code implementations1 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.

Attribute

Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference

no code implementations26 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.

Philosophy

Inference of Continuous Linear Systems from Data with Guaranteed Stability

no code implementations24 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.

Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows

1 code implementation13 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.

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