4 papers
Neural network-enhanced integrators for simulating ordinary differential equations
Amine Othmane, Kathrin Flaßkamp
Numerous applications necessitate the computation of numerical solutions to differential equations across a wide range of initial conditions and system parameters, which feeds the…
The impact of AI on engineering design procedures for dynamical systems
Kristin M. de Payrebrune, Kathrin Flaßkamp, Tom Ströhla +19
Artificial intelligence (AI) is driving transformative changes across numerous fields, revolutionizing conventional processes and creating new opportunities for innovation. The dev…
Efficient Avoidance of Ellipsoidal Obstacles with Model Predictive Control for Mobile Robots and Vehicles
Mario Rosenfelder, Hendrik Carius, Markus Herrmann-Wicklmayr +3
In real-world applications of mobile robots, collision avoidance is of critical importance. Typically, global motion planning in constrained environments is addressed through high-…
Koopman Based Trajectory Optimization with Mixed Boundaries
Mohamed Abou-Taleb, Maximilian Raff, Kathrin Flaßkamp +1
Trajectory optimization is a widely used tool in the design and control of dynamical systems. Typically, not only nonlinear dynamics, but also couplings of the initial and final co…