1 code implementation • 19 Jan 2023 • Eva Dierkes, Christian Offen, Sina Ober-Blöbaum, Kathrin Flaßkamp
Recently, Hamiltonian neural networks (HNN) have been introduced to incorporate prior physical knowledge when learning the dynamical equations of Hamiltonian systems.
no code implementations • 14 Dec 2022 • Nikolaus Vertovec, Sina Ober-Blöbaum, Kostas Margellos
One of the fundamental problems in spacecraft trajectory design is finding the optimal transfer trajectory that minimizes the propellant consumption and transfer time simultaneously.
no code implementations • 20 Nov 2022 • Steffen Ridderbusch, Sina Ober-Blöbaum, Paul Goulart
Computing the distribution of trajectories from a Gaussian Process model of a dynamical system is an important challenge in utilizing such models.
1 code implementation • 20 Nov 2022 • Yana Lishkova, Paul Scherer, Steffen Ridderbusch, Mateja Jamnik, Pietro Liò, Sina Ober-Blöbaum, Christian Offen
By one of the most fundamental principles in physics, a dynamical system will exhibit those motions which extremise an action functional.
no code implementations • 23 Mar 2022 • Nikolaus Vertovec, Sina Ober-Blöbaum, Kostas Margellos
Hamilton-Jacobi reachability methods for safety-critical control have been well studied, but the safety guarantees derived rely on the accuracy of the numerical computation.
1 code implementation • 8 Apr 2021 • Michael Dellnitz, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, Karlson Pfannschmidt
While the classical schemes apply very generally and are highly efficient on regular systems, they can behave sub-optimal when an inefficient step rejection mechanism is triggered by structurally complex systems such as chaotic systems.
1 code implementation • 10 Nov 2020 • Steffen Ridderbusch, Christian Offen, Sina Ober-Blöbaum, Paul Goulart
Recent advances in learning techniques have enabled the modelling of dynamical systems for scientific and engineering applications directly from data.