On Linearizability Conditions for Non-autonomous Control Systems

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1196)


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 \(C^2\) 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), 104572, 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.


Linearizability problem Non-autonomous systems Driftless form Non-local first integrals 


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Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of SzczecinSzczecinPoland
  2. 2.V. N. Karazin Kharkiv National UniversityKharkivUkraine

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