On the extension of the Korobov's class of linearizable triangular systems by nonlinear control systems of the class C-1

摘要

We give the complete description of nonlinear control systems of the class C-1 with one-dimensional control which are feedback linearizable by means of a change of the control of the class C-1 and a change of variables of the class C-2 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. (c) 2005 Elsevier B.V. All rights reserved.