On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongationстатья
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Дата последнего поиска статьи во внешних источниках: 26 июня 2024 г.
Аннотация:We prove a necessary and sufficient condition for the linearizability of nonlinear systems
with a single control in the class of transformations containing time scaling and preserving
the state manifold. A description is given for systems that are obtained by a single extension
of a nonlinear system with one control and are A-orbitally linearizable. It is proved that the
A-orbital linearizability of the system obtained by a single extension of an affine system with
a single control implies the A-orbital linearizability of the original system as well. It is shown
that if the system obtained by a k-fold extension of a nonlinear system with a single control,
where k ≥ 2, is A-orbitally linearizable, then the system obtained from the original system by
its single extension is A-orbitally linearizable as well.