36 citations · 119 across the 33 of their papers we have counts for
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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…
Funnel control for the monodomain equations with the FitzHugh-Nagumo model
Thomas Berger, Tobias Breiten, Marc Puche +1
We consider a nonlinear reaction diffusion system of parabolic type known as the monodomain equations, which model the interaction of the electric current in a cell. Together with…
-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…