  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 stable spot along a desired trajectory with desired
velocity. Simultaneously, the spot's concentration profile does not change
under control. For a given protocol of motion, we first express the control
signal analytically in terms of the Goldstone modes and the propagation
velocity of the uncontrolled spot. Thus, detailed information about the
underlying nonlinear reaction kinetics is unnecessary. Then, we confirm the
optimality of this solution by demonstrating numerically its equivalence to the
solution of a regularized, optimal control problem. To solve the latter, the
analytical expressions for the control are excellent initial guesses
speeding-up substantially the otherwise time-consuming calculations.
