A-Orbital Linearization of Affine Systems

Abstract

The problem of transformation of an affine system into a linear controllable system is considered. For affine systems with a single control, the notion of A-orbital linearizability is introduced, which generalizes the notion (well known for affine systems) of orbital linearizability to the case where the control-dependent changes of independent variable are used. A necessary and sufficient condition for the A-orbital linearizability is proved, and an algorithm for determining linearizable transformations is proposed based on the construction of the derived series of the codistribution associated with the original system.