Stabilization of some class of nonlinear systems that are uncontrollable the first approximation

Authors

  • V.I. Korobov
  • M.O. Bebiya

DOI:

https://doi.org/10.15407/dopovidi2014.02.020

Keywords:

nonlinear systems, stabilization, uncontrol

Abstract

The problem of stabilization for systems of the form x˙1=u,

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that are uncontrollable in the first approximation is considered. The sufficient condition of existence of a quadratic Lyapunov function is obtained, and a method of construction of the Lyapunov function and the stabilizing control is described.

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References

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Published

27.03.2025

How to Cite

Korobov, V., & Bebiya, M. (2025). Stabilization of some class of nonlinear systems that are uncontrollable the first approximation . Reports of the National Academy of Sciences of Ukraine, (2), 20–25. https://doi.org/10.15407/dopovidi2014.02.020