Abstract
The paper deals with the problem of analytic linearizability for nonlinear non-autonomous control systems, i.e., the problem of mapping of a nonlinear non-autonomous control system to a linear system with analytic matrices by a transformation of coordinates. We introduce a concept of a driftless form of a non-autonomous system, which allows simplifying our analysis. We give linearizability conditions and find invariants for nonlinear systems that are mappable to a preassigned linear system.
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