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On Leonov's method for computing the linearization of transverse dynamics and analyzing Zhukovsky stability

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Publication:2212400
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DOI10.1134/S1063454119040071zbMath1460.34068WikidataQ115473762 ScholiaQ115473762MaRDI QIDQ2212400

Nikolay V. Kuznetsov, Sh. N. Mamedov, A. S. Shiryaev, R. R. Khusainov, Sergei V. Gusev

Publication date: 23 November 2020

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)


zbMATH Keywords

transverse linearizationmoving Poincaré sectionZhukovsky stability


Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability of solutions to ordinary differential equations (34D20)




Cites Work

  • Generalization of the Andronov--Vitt theorem
  • Stabilization of invariant sets for nonlinear systems with applications to control of oscillations
  • TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
  • Swing-up control strategies for a reaction wheel pendulum
  • Swinging control of nonlinear oscillations
  • Transverse Linearization for Controlled Mechanical Systems With Several Passive Degrees of Freedom
  • Nonlinear control of the reaction wheel pendulum




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