40 citations · 95 across the 9 of their papers we have counts for
10 papers
Control of traveling localized spots
Steffen Martens, Christopher Ryll, Jakob Löber +2
Traveling localized spots represent an important class of self-organized two-dimensional patterns in reaction-diffusion systems. We study open-loop control intended to guide a stab…
Linear structures in nonlinear optimal control
Jakob Löber
We investigate optimal control of dynamical systems which are affine, i.e., linear in control, but nonlinear in state. The control task is to enforce the system state to follow a p…
Exactly realizable desired trajectories
Jakob Löber
Trajectory tracking of nonlinear dynamical systems with affine open-loop controls is investigated. The control task is to enforce the system state to follow a prescribed desired tr…
Optimal trajectory tracking
Jakob Löber
This thesis investigates optimal trajectory tracking of nonlinear dynamical systems with affine controls. The control task is to enforce the system state to follow a prescribed des…
Analytical, Optimal, and Sparse Optimal Control of Traveling Wave Solutions to Reaction-Diffusion Systems
Christopher Ryll, Jakob Löber, Steffen Martens +2
This work deals with the position control of selected patterns in reaction-diffusion systems. Exemplarily, the Schlögl and FitzHugh-Nagumo model are discussed using three different…
Control of transversal instabilities in reaction-diffusion systems
Sonja Molnos, Jakob Löber, Jan Frederik Totz +1
In two-dimensional reaction-diffusion systems, local curvature perturbations in the shape of traveling waves are typically damped out and disappear in the course of time. If, howev…
Shaping wave patterns in reaction-diffusion systems
Jakob Löber, Steffen Martens, Harald Engel
We present a method to control the two-dimensional shape of traveling wave solutions to reaction-diffusion systems, as e.g. interfaces and excitation pulses. Control signals that r…
Control of chemical wave propagation
Jakob Löber, Rhoslyn Coles, Julien Siebert +2
Using the Schlögl model as a paradigmatic example of a bistable reaction-diffusion system, we discuss some physically feasible options of open and closed loop spatio-temporal contr…
Controlling the position of traveling waves in reaction-diffusion systems
Jakob Löber, Harald Engel
We present a method to control the position as a function of time of one-dimensional traveling wave solutions to reaction-diffusion systems according to a pre-specified protocol of…
Analytical approximations for spiral waves
Jakob Löber, Harald Engel
We propose a non-perturbative attempt to solve the kinematic equations for spiral waves in excitable media. From the eikonal equation for the wave front we derive an implicit analy…