- PII
- 10.31857/S0374064123010090-1
- DOI
- 10.31857/S0374064123010090
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 59 / Issue number 1
- Pages
- 100-114
- Abstract
- We prove a necessary and sufficient condition for the linearizability of single-input nonlinear control systems in the class of transformations containing time scaling and preserving the state manifold. A description is given for systems that are obtained by a 1-fold prolongation of a single-input nonlinear control system and are -orbitally linearizable. It is proved that the -orbital linearizability of the system obtained by a 1-fold prolongation of a single-input affine control system implies the -orbital linearizability of the original system as well. It is shown that if the system obtained by a fold prolongation of a single-input nonlinear control system, where, is orbitally linearizable, then the system obtained from the original system by its 1-fold prolongation is -orbitally linearizable as well.
- Keywords
- Date of publication
- 19.09.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 8
References
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