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On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongationстатья
- Автор: Fetisov D.A.
- Журнал: Differential Equations
- Том: 59
- Номер: 1
- Год издания: 2023
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 103
- Последняя страница: 118
- DOI: 10.1134/s0012266123010081
- 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.
- Добавил в систему: Фетисов Дмитрий Анатольевич