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A-Orbital Linearization of Affine Systems

  • Control Theory
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Abstract

The problem of transformation of an affine system into a linear controllable system is considered. For affine systems with a single control, the notion of A-orbital linearizability is introduced, which generalizes the notion (well known for affine systems) of orbital linearizability to the case where the control-dependent changes of independent variable are used. A necessary and sufficient condition for the A-orbital linearizability is proved, and an algorithm for determining linearizable transformations is proposed based on the construction of the derived series of the codistribution associated with the original system.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Moscow, 105005, Russia

    D. A. Fetisov

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  1. D. A. Fetisov
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Correspondence to D. A. Fetisov.

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Original Russian Text © D.A. Fetisov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 11, pp. 1518–1532.

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Fetisov, D.A. A-Orbital Linearization of Affine Systems. Diff Equat 54, 1494–1508 (2018). https://doi.org/10.1134/S0012266118110101

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