Abstract
Reaction-diffusion systems model phenomena from a large variety of fields. The analytical approach pursued in this thesis can be used to obtain solutions to optimal control for a number of systems with relative ease. The formalism based on projectors is modified and applied to spatio-temporal systems. The controlled state equation is split up in two parts, and exactly realizable distributions are introduced as the spatio-temporal analogue of exactly realizable trajectories. As an important application, we consider the position control of traveling waves.
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Löber, J. (2017). Control of Reaction-Diffusion Systems. In: Optimal Trajectory Tracking of Nonlinear Dynamical Systems. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-46574-6_5
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