On Linearizability Conditions for Non-autonomous Control Systems

摘要

The paper deals with the problem of mappability of nonlinear non-autonomous control systems to linear non-autonomous systems with analytic matrices. We study the existence of non-local linearizing map of class C2 for nonlinear systems of class C~1. In the paper K. Sklyar, On mappability of control systems to linear systems with analytic matrices. Systems Control Lett. 134 (2019), 104 572, linearizability conditions were obtained under the additional requirement concerning existence of a non-local driftless form of the system. The goal of the present paper is to reduce this requirement.