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On A-Orbital Linearization of Three-Dimensional Single-Input Affine Systemsстатья
- Автор: Fetisov D.A.
- Журнал: Differential Equations
- Том: 58
- Номер: 4
- Год издания: 2022
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 519
- Последняя страница: 534
- DOI: 10.1134/S0012266122040085
- Аннотация: The problem of A-orbital linearization of nonlinear control-affine systems is considered. Under the currently known conditions for A-orbital linearizability, it is assumed that the C∞-module generated by the vector fields corresponding to the system has constant rank. In the present paper, this assumption is dropped. A necessary and sufficient local condition is proved under which a three-dimensional single-input affine system is A-orbitally feedback and state equivalent to a linear control system considered in a neighborhood of an equilibrium.
- Добавил в систему: Фетисов Дмитрий Анатольевич