We give the complete description of nonlinear control systems of the class
C1 with one-dimensional control which are
feedback linearizable by means of a change of the control of the class
C1 and a change of variables of the class
C2 as well as the control systems which are linearizable by means of a change of variables only. The both results are originated from the approach proposed by V.I. Korobov in 1973 for the linearization of triangular control systems.