Abstract
Abstract The problem of finding a global state space transformation and a certain kind of global feedback to transform a given single-input homogeneous bilinear system into a controllable linear system is considered here. The comparision with the local version of this problem is performed, namely, the conjecture on possible equivalence of these two notions is stated and discussed. This conjecture. has been recently found to be valid in the case of the state linearization. Complete analysis of the both locally and globally feedback linearizable honl0geneous bilinear systems in R 2 and R 3 is performed here to show the validity of such conjecture for the small dimensional case. This contribution can be therefore viewed in the framework of considering the class of bilinear systems as the nonlinear class suitable for the global properties analysis.
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