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On controlling objects whose motion is defined by implicit nonlinear differential equations

  • Nonlinear Systems
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Abstract

We prove a new result on Lipshitz disturbances of vector covering maps in metric spaces. With methods of covering maps theory, we study controllable systems defined by differential equations that are not resolved with respect to the derivative of the unknown function.

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Authors and Affiliations

  1. Derzhavin Tambov State University, Tambov, Russia

    E. S. Zhukovskii & E. A. Pluzhnikova

Authors
  1. E. S. Zhukovskii
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  2. E. A. Pluzhnikova
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Correspondence to E. S. Zhukovskii.

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Original Russian Text © E.S. Zhukovskii, E.A. Pluzhnikova, 2015, published in Avtomatika i Telemekhanika, 2015, No. 1, pp. 31–56.

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Zhukovskii, E.S., Pluzhnikova, E.A. On controlling objects whose motion is defined by implicit nonlinear differential equations. Autom Remote Control 76, 24–43 (2015). https://doi.org/10.1134/S0005117915010038

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  • DOI: https://doi.org/10.1134/S0005117915010038

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