26 citations · 72 across the 7 of their papers we have counts for
9 papers
Neural Network Based Nonlinear Observers
Tobias Breiten, Karl Kunisch
Nonlinear observers based on the well-known concept of minimum energy estimation are discussed. The approach relies on an output injection operator determined by a Hamilton-Jacobi-…
Solving differential Riccati equations: A nonlinear space-time method using tensor trains
Tobias Breiten, Sergey Dolgov, Martin Stoll
Differential algebraic Riccati equations are at the heart of many applications in control theory. They are time-depent, matrix-valued, and in particular nonlinear equations that re…
-gap model reduction for stabilizable and detectable systems
Tobias Breiten, Chris A. Beattie, Serkan Gugercin
We formulate here an approach to model reduction that is well-suited for linear time-invariant control systems that are stabilizable and detectable but may otherwise be unstable. W…
Feedback Stabilization of the Three-Dimensional Navier-Stokes Equations using Generalized Lyapunov Equations
Tobias Breiten, Karl Kunisch
The approximation of the value function associated to a stabilization problem formulated as optimal control problem for the Navier-Stokes equations in dimension three by means of s…
Feedback Stabilization of the Two-Dimensional Navier-Stokes Equations by Value Function Approximation
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
The value function associated with an optimal control problem subject to the Navier-Stokes equations in dimension two is analyzed. Its smoothness is established around a steady sta…
On the Turnpike Property and the Receding-Horizon Method for Linear-Quadratic Optimal Control Problems
Tobias Breiten, Laurent Pfeiffer
Optimal control problems with a very large time horizon can be tackled with the Receding Horizon Control (RHC) method, which consists in solving a sequence of optimal control probl…