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On the global linearization of bilinear systems. (English) Zbl 0732.93012

Summary: The problem of finding a global state space transformation to transform a given single-input homogeneous bilinar 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.

MSC:

93B18 Linearizations
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