Abstract
The problem of finding a global state space transformation to transform a given single-input homogeneous bilinear system to a controllable linear system on R n is considered here. We show that the existence of a solution of the above problem is equivalent to the existence of a local state space transformation that carries the corresponding bilinear system locally to a controllable linear one. The complete analysis of the globally state linearizable bilinear systems in R 2 and R 3 is also included.
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