  We consider a terminal control problem for processes governed by a nonlinear
system of fractional ODEs. In order to show existence of the control, we first
consider the linear counterpart of the system and reprove a number of classical
theorems in the fractional setting (representation of the solution through the
Gramian type matrix, Kalman's principle, equivalence of the controllability and
observability). We are then in the position to use a fixed point theorem
approach and various techniques from the fractional calculus theory to get the
desired result.
