On A-Orbital Linearization of Three-Dimensional Single-Input Affine Systems

被引：0

作者：

Fetisov, D. A. ^{[1
]}

机构：

[1] Bauman Moscow State Tech Univ, Moscow 105005, Russia

来源：

DIFFERENTIAL EQUATIONS | 2022年 / 58卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

FEEDBACK;

D O I：

10.1134/S0012266122040085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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-infinity-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 controllable system considered in a neighborhood of an equilibrium.

引用

页码：519 / 534

页数：16

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