4 papers
A first-optimize-then-reduce framework for optimal control with the shifted proper orthogonal decomposition
Tobias Breiten, Shubhaditya Burela, Philipp Schulze
Overcoming the Kolmogorov barrier for constructing efficient reduced-order models (ROMs) for transport-dominated problems remains a challenge. This has impeded their use as computa…
Optimal control with the shifted proper orthogonal decomposition via a first-reduce-then-optimize framework
Tobias Breiten, Shubhaditya Burela, Philipp Schulze
Solving optimal control problems for transport-dominated partial differential equations (PDEs) can become computationally expensive, especially when dealing with high-dimensional s…
Passivity encoding representations of nonlinear systems
Attila Karsai, Tobias Breiten, Justus Ramme +1
Passive systems are characterized by their inability to generate energy internally, providing a powerful tool for modeling physical phenomena. Additionally, algebraically encoding…
Optimal control for a class of linear transport-dominated systems via the shifted proper orthogonal decomposition
Tobias Breiten, Shubhaditya Burela, Philipp Schulze
Solving optimal control problems for transport-dominated partial differential equations (PDEs) can become computationally expensive, especially when dealing with high-dimensional s…